Simple and Compound Probability

Front

What is probability?

Back

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

Front

What is simple probability?

Back

Simple probability refers to the probability of a single event occurring.

Front

What is compound probability?

Back

Compound probability refers to the probability of two or more events occurring, which can be dependent or independent.

Front

How do you calculate the probability of independent events?

Back

For independent events, multiply the probabilities of each event: P(A and B) = P(A) * P(B).

Front

How do you calculate the probability of dependent events?

Back

For dependent events, multiply the probability of the first event by the probability of the second event given the first: P(A and B) = P(A) * P(B|A).

Front

What is the formula for calculating the probability of an event?

Back

The probability of an event is calculated as: P(Event) = Number of favorable outcomes / Total number of outcomes.

Front

If a bag contains 3 red and 2 blue marbles, what is the probability of drawing a red marble?

Back

P(Red) = 3/5.

Front

What is the probability of drawing two blue marbles in succession without replacement from a bag containing 2 blue and 3 green marbles?

Back

P(Blue, Blue) = (2/5) * (1/4) = 2/20 = 1/10.

Front

What is the total number of outcomes when rolling a die?

Back

There are 6 possible outcomes when rolling a die: 1, 2, 3, 4, 5, 6.

Front

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

Back

P(Even) = 3/6 = 1/2.