8.3 Practice - Probability: Addition Rule

Front

What is the Addition Rule in probability?

Back

The Addition Rule states that the probability of the occurrence of at least one of two events is equal to the sum of their individual probabilities minus the probability of their intersection. Mathematically, it is expressed as: P(A or B) = P(A) + P(B) - P(A and B).

Front

If a box contains 18 blue chips, 6 red chips, 4 green chips, and 2 yellow chips, what is the total number of chips?

Back

The total number of chips is 30 (18 blue + 6 red + 4 green + 2 yellow).

Front

What is the probability of selecting a blue or yellow chip from the box?

Back

Front

How do you calculate the probability of rolling a sum of 7 or 4 with two dice?

Back

Front

What is the probability of hiring a man or a woman from a group of 5 men and 5 women for two job positions?

Back

The probability of hiring a man or a woman for each position is 1, since there are only men and women in the group.

Front

What is the probability of spinning an odd number or a number divisible by 3 on a spinner numbered 1 to 10?

Back

Front

In a survey of 540 customers, if 308 preferred chocolate ice cream, what is the probability of selecting a customer who prefers vanilla?

Back

Front

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

Back

For independent events, the probability of both A and B occurring is given by: P(A and B) = P(A) * P(B).

Front

What is the probability of selecting a red chip from a box containing 30 chips (18 blue, 6 red, 4 green, 2 yellow)?

Back

Front

If the probability of event A is 0.3 and the probability of event B is 0.5, what is the probability of either A or B occurring if they are mutually exclusive?

Back

If A and B are mutually exclusive, P(A or B) = P(A) + P(B) = 0.3 + 0.5 = 0.8.