Practice: Probability Addition Rule

Front

What is the Probability Addition Rule?

Back

The Probability Addition Rule states that the probability of the occurrence of at least one of two events A or B is given by P(A or B) = P(A) + P(B) - P(A and B).

Front

If you draw one card from a standard deck, what is the probability of drawing a 5 or a diamond?

Back

4/13

Front

In a pet store, there are 6 puppies, 4 gerbils, and 7 parakeets. What is the probability of choosing a puppy or a parakeet?

Back

13/17

Front

What is the probability of choosing a 5 or an even number from 1 to 10?

Back

3/5

Front

What is the probability of rolling a number greater than 3 or an even number on a 6-sided die?

Back

2/3

Front

What is the probability of rolling a 2 or a 5 on a 6-sided die?

Back

1/3

Front

Define mutually exclusive events in probability.

Back

Mutually exclusive events are events that cannot occur at the same time. For example, rolling a 2 and rolling a 5 on a single die.

Front

What is the probability of drawing a heart or a queen from a standard deck of cards?

Back

P(Heart) + P(Queen) - P(Heart and Queen) = 1/4 + 1/52 - 1/52 = 1/4.

Front

How do you calculate the probability of two independent events A and B occurring?

Back

For independent events, P(A and B) = P(A) * P(B).

Front

What is the probability of rolling an odd number or a number less than 4 on a 6-sided die?

Back

P(Odd) + P(Less than 4) - P(Odd and Less than 4) = 3/6 + 3/6 - 1/6 = 5/6.