Gr 12 Mathematics: Ch 9.6 Application to Probability Problems

What is the formula to calculate the probability of an event E?

P(E) = n(E) - n(S)

P(E) = n(E) / n(S) (correct)

P(E) = n(E) × n(S)

P(E) = n(S) / n(E)

If a PIN consists of 4 digits and digits can be repeated, how many possible PINs are there?

1,000

5,000

15,000

10,000 (correct)

If a PIN consists of 4 digits and digits cannot be repeated, how many possible PINs are there?

3,024

4,000

6,561

5,040 (correct)

What is the probability that a PIN contains at least one 8 if digits can be repeated?

0.3439 Signup and view all the answers

What is the probability that a PIN contains at least one 8 if digits cannot be repeated?

0.4 Signup and view all the answers

How many letters are excluded when forming a car number plate consisting of 3 letters?

6 Signup and view all the answers

What is the total number of possible car number plates?

20,736 Signup and view all the answers

What is the total number of possible digits for a car number plate?

1,000,000 Signup and view all the answers

What is the total number of possible arrangements of the word 'BASSOON' if repeated letters are treated as identical?

1,260 Signup and view all the answers

What is the probability that the number plate starts with 'Y' and ends with an odd digit?

0.216 Signup and view all the answers

How many arrangements are there if the word 'BASSOON' starts and ends with the letter 'S'?

60 Signup and view all the answers

What is the total number of possible number plates?

926,100 Signup and view all the answers

What is the probability that the word 'BASSOON' starts and ends with the same letter?

0.0952 Signup and view all the answers

What is the general formula for calculating the probability of an event E occurring?

P(E) = n(E) / n(S) Signup and view all the answers

What is the number of options for the first and second digits in a number plate?

20 Signup and view all the answers

A password consists of 5 digits and can be repeated. How many possible passwords are there?

10^5 Signup and view all the answers

What is the probability that a number plate starts with 'Y' and ends with an odd digit?

0.216 Signup and view all the answers

A license plate consists of 3 letters (excluding vowels and 'Q') followed by 3 digits. What is the total number of possible license plates?

151,200,000 Signup and view all the answers

How many arrangements are there if the word 'BASSOON' starts and ends with the letter 'O'?

60 Signup and view all the answers

What is the probability that a 4-digit PIN contains at least one even digit if digits can be repeated?

0.84375 Signup and view all the answers

What is the total number of possible arrangements of the word 'BASSOON' if repeated letters are ignored?

1,260 Signup and view all the answers

A combination lock consists of 3 numbers (0-9) and can be repeated. What is the probability that the lock opens with a combination that contains at least one 0?

0.729 Signup and view all the answers

A lottery drawing consists of 4 numbers (1-40) and cannot be repeated. What is the total number of possible lottery drawings?

40 * 39 * 38 * 37 Signup and view all the answers

What is the probability that the word 'BASSOON' starts and ends with the same letter?

0.0952 Signup and view all the answers

How many options are there for the last digit of a number plate?

5 Signup and view all the answers

What is the probability that a randomly selected car license plate starts with the letter 'K'?

1/20 Signup and view all the answers

A password consists of 6 characters (A-Z, 0-9) and can be repeated. What is the probability that the password contains at least one digit?

0.984 Signup and view all the answers

What is the number of possible arrangements of the word 'BASSOON' if repeated letters are treated as distinct?

5040 Signup and view all the answers

A license plate consists of 3 letters (excluding vowels and 'Q') followed by 3 digits. What is the probability that the license plate starts with 'Y' and ends with an odd digit?

0.216 Signup and view all the answers

What is the total number of possible arrangements of the word 'BASSOON' if the word starts and ends with 'S' or 'O'?

240 Signup and view all the answers

What is the total number of possible car number plates?

926,100 Signup and view all the answers

What is the probability that a randomly selected word arrangement of 'BASSOON' starts and ends with the same letter, given that the word arrangement is chosen uniformly at random?

0.0952 Signup and view all the answers

If a 3-letter word arrangement is chosen uniformly at random from the 7 distinct letters of 'BASSOON', what is the probability that the first and last letters are the same?

1/7 Signup and view all the answers

If a PIN consists of 5 digits and digits can be repeated, what is the total number of possible PINs?

100,000,000 Signup and view all the answers

What is the probability that a PIN of 4 digits contains at least one even digit if digits cannot be repeated?

0.625 Signup and view all the answers

A car number plate consists of 3 letters (excluding vowels and 'Q') followed by 3 digits. What is the probability that the number plate starts with the letter 'B' and ends with an even digit?

0.005 Signup and view all the answers

If a PIN consists of 6 digits and digits can be repeated, what is the probability that the PIN contains at least two 8's?

0.0539 Signup and view all the answers

A car number plate consists of 3 letters (excluding vowels and 'Q') followed by 3 digits. What is the probability that the number plate contains at least one letter 'T' and at least one digit '3'?

0.2727 Signup and view all the answers

If a PIN consists of 5 digits and digits cannot be repeated, what is the probability that the PIN contains at least one 8 and at least one 9?

0.4286 Signup and view all the answers

A car number plate consists of 3 letters (excluding vowels and 'Q') followed by 3 digits. What is the probability that the number plate starts with the letter 'A' and ends with an odd digit?

0.05 Signup and view all the answers

If a PIN consists of 4 digits and digits can be repeated, what is the probability that the PIN contains at least three 8's?

0.0081 Signup and view all the answers

Gr 12 Mathematics: Ch 9.6 Application to Probability Problems

Questions and Answers

What is the formula to calculate the probability of an event E?

If a PIN consists of 4 digits and digits can be repeated, how many possible PINs are there?

If a PIN consists of 4 digits and digits cannot be repeated, how many possible PINs are there?

What is the probability that a PIN contains at least one 8 if digits can be repeated?

What is the probability that a PIN contains at least one 8 if digits cannot be repeated?

How many letters are excluded when forming a car number plate consisting of 3 letters?

What is the total number of possible car number plates?

What is the total number of possible digits for a car number plate?

What is the total number of possible arrangements of the word 'BASSOON' if repeated letters are treated as identical?

What is the probability that the number plate starts with 'Y' and ends with an odd digit?

How many arrangements are there if the word 'BASSOON' starts and ends with the letter 'S'?

What is the total number of possible number plates?

What is the probability that the word 'BASSOON' starts and ends with the same letter?

What is the general formula for calculating the probability of an event E occurring?

What is the number of options for the first and second digits in a number plate?

A password consists of 5 digits and can be repeated. How many possible passwords are there?

What is the probability that a number plate starts with 'Y' and ends with an odd digit?

A license plate consists of 3 letters (excluding vowels and 'Q') followed by 3 digits. What is the total number of possible license plates?

How many arrangements are there if the word 'BASSOON' starts and ends with the letter 'O'?

What is the probability that a 4-digit PIN contains at least one even digit if digits can be repeated?

What is the total number of possible arrangements of the word 'BASSOON' if repeated letters are ignored?

A combination lock consists of 3 numbers (0-9) and can be repeated. What is the probability that the lock opens with a combination that contains at least one 0?

A lottery drawing consists of 4 numbers (1-40) and cannot be repeated. What is the total number of possible lottery drawings?

What is the probability that the word 'BASSOON' starts and ends with the same letter?

How many options are there for the last digit of a number plate?

What is the probability that a randomly selected car license plate starts with the letter 'K'?

A password consists of 6 characters (A-Z, 0-9) and can be repeated. What is the probability that the password contains at least one digit?

What is the number of possible arrangements of the word 'BASSOON' if repeated letters are treated as distinct?

A license plate consists of 3 letters (excluding vowels and 'Q') followed by 3 digits. What is the probability that the license plate starts with 'Y' and ends with an odd digit?

What is the total number of possible arrangements of the word 'BASSOON' if the word starts and ends with 'S' or 'O'?

What is the total number of possible car number plates?

What is the probability that a randomly selected word arrangement of 'BASSOON' starts and ends with the same letter, given that the word arrangement is chosen uniformly at random?

If a 3-letter word arrangement is chosen uniformly at random from the 7 distinct letters of 'BASSOON', what is the probability that the first and last letters are the same?

If a PIN consists of 5 digits and digits can be repeated, what is the total number of possible PINs?

What is the probability that a PIN of 4 digits contains at least one even digit if digits cannot be repeated?

A car number plate consists of 3 letters (excluding vowels and 'Q') followed by 3 digits. What is the probability that the number plate starts with the letter 'B' and ends with an even digit?

If a PIN consists of 6 digits and digits can be repeated, what is the probability that the PIN contains at least two 8's?

A car number plate consists of 3 letters (excluding vowels and 'Q') followed by 3 digits. What is the probability that the number plate contains at least one letter 'T' and at least one digit '3'?

If a PIN consists of 5 digits and digits cannot be repeated, what is the probability that the PIN contains at least one 8 and at least one 9?

A car number plate consists of 3 letters (excluding vowels and 'Q') followed by 3 digits. What is the probability that the number plate starts with the letter 'A' and ends with an odd digit?

If a PIN consists of 4 digits and digits can be repeated, what is the probability that the PIN contains at least three 8's?

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