Probability Flashcard 2

Front

What is the probability of an event?

Back

The probability of an event is a measure of the likelihood that the event will occur, expressed as a number between 0 and 1.

Front

Define independent events in probability.

Back

Independent events are two or more events where the occurrence of one event does not affect the occurrence of the other.

Front

Define dependent events in probability.

Back

Dependent events are two or more events where the occurrence of one event affects the occurrence of the other.

Front

What is the formula for calculating the probability of two independent events A and B occurring?

Back

P(A and B) = P(A) * P(B) for independent events.

Front

What is the formula for calculating the probability of two dependent events A and B occurring?

Back

P(A and B) = P(A) * P(B|A) for dependent events.

Front

How do you calculate the probability of picking a specific item from a set?

Back

Probability = (Number of favorable outcomes) / (Total number of outcomes).

Front

What is the probability of rolling an even number on a standard die?

Back

There are 3 even numbers (2, 4, 6) on a die, so P(even) = 3/6 = 1/2.

Front

What is the probability of rolling a number greater than 4 on a standard die?

Back

There are 2 numbers greater than 4 (5, 6), so P(greater than 4) = 2/6 = 1/3.

Front

How do you find the probability of the union of two events A and B?

Back

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

Front

What is the probability of drawing a face card from a standard deck of cards?

Back

There are 12 face cards in a deck of 52 cards, so P(face card) = 12/52 = 3/13.