Probability 1&2: Understanding Probability and Its Formula

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18 Questions

In a toss of two fair coins, what is the probability of getting at least two heads?

3/8

What is the probability of getting a head on a single toss of a fair coin?

1/2

In a roll of a fair dice, what is the probability of getting a 3 or a 6?

1/3

A bag contains 6 white balls, 5 red balls, and 4 blue balls. What is the probability of drawing a red ball?

5/15

What is the probability of getting two heads and a tail when a fair coin is tossed thrice?

3/16

If a fair coin is tossed twice, what is the probability of getting two heads?

1/4

What is the sum of the probabilities of all mutually exclusive events?

1 or 100%

What is the probability that two independent events will both occur, given their individual probabilities?

The product of their individual probabilities

What is the addition rule of probability used for?

To determine the probability of one event or the other (not necessarily both) occurring

What is the probability of an event not occurring, given the probability of the event occurring?

1 - P(E)

What is the condition for the probability of two events being multiplied?

The events are independent

Two events are said to be independent if the occurrence of one event affects the occurrence of the other event.

False

Two events A and B are said to be mutually non-exclusive if:

They have at least one common outcome

What is the probability of two independent events occurring, given their individual probabilities?

P(A) × P(B)

What is the formula for the addition rule of probability for non-mutually exclusive events?

P(A or B) = P(A) + P(B) - P(A and B)

If two events are mutually exclusive, what is the probability of both events occurring?

0

What is the probability of getting a six on a rolling dice, given that the probability of not getting a six is 84%?

16%

What is the probability of a person having both cancer and schizophrenia, given the lifetime probabilities of each?

0.25 × 0.01

Test your knowledge of probability, a fundamental concept in mathematics that deals with the likelihood of an event occurring. Learn how to calculate probability using the formula P(E) = n/N and understand the concept of favorable events. Brush up on your probability skills with this quiz!

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