Podcast
Questions and Answers
What is the formula to calculate the probability of an event E?
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?
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?
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?
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?
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?
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 car number plates?
What is the total number of possible digits for a car number plate?
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 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?
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'?
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 total number of possible number plates?
What is the probability that the word 'BASSOON' starts and ends with the same letter?
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 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?
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?
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?
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?
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'?
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 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?
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 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?
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?
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?
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'?
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?
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?
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?
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 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 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?
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 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?
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?
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?
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?
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'?
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?
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?
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?
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?
