Holiday Theoretical Probability with "or" and "and".

Front

What is theoretical probability?

Back

Theoretical probability is the likelihood of an event happening based on all possible outcomes, calculated as the number of favorable outcomes divided by the total number of outcomes.

Front

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

Back

To find the probability of two independent events A and B both occurring, multiply their individual probabilities: P(A and B) = P(A) * P(B).

Front

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

Back

To find the probability of event A or event B occurring, use the formula: P(A or B) = P(A) + P(B) - P(A and B).

Front

If a jar contains 30 candies (10 red, 8 green, 7 gold, 5 blue), what is the probability of selecting a red candy?

Back

P(red) = Number of red candies / Total candies = 10/30 = 1/3.

Front

If a jar contains 30 candies (10 red, 8 green, 7 gold, 5 blue), what is the probability of selecting a gold candy?

Back

P(gold) = Number of gold candies / Total candies = 7/30.

Front

What is the probability of selecting a red candy and then a gold candy with replacement from a jar of 30 candies?

Back

P(red and gold) = P(red) * P(gold) = (10/30) * (7/30) = 70/900 = 7/90.

Front

In a collection of 16 stockings (8 red, 4 green, 3 striped, 1 plain), what is the probability of selecting a striped or green stocking?

Back

P(striped or green) = P(striped) + P(green) = (3/16) + (4/16) = 7/16.

Front

In a wrapping station with 28 gift boxes (10 red, 8 green, 6 gold, 4 silver), what is the probability of selecting a gold or silver box?

Back

P(gold or silver) = P(gold) + P(silver) = (6/28) + (4/28) = 10/28 = 5/14.

Front

If a tree has 12 ornaments (5 red, 4 green, 3 gold), what is the probability of selecting a red or green ornament?

Back

P(red or green) = P(red) + P(green) = (5/12) + (4/12) = 9/12 = 3/4.

Front

In a box of 24 string lights (10 red, 8 green, 6 multicolored), what is the probability of selecting a red or green light?

Back

P(red or green) = P(red) + P(green) = (10/24) + (8/24) = 18/24 = 3/4.