Homework - "OR" Probability

Front

What is the probability of rolling a multiple of 2 or a multiple of 3 on a die?

Back

P(multiple of 2 or multiple of 3) = P(multiple of 2) + P(multiple of 3) - P(multiple of both) = 3/6 + 2/6 - 1/6 = 4/6.

Front

What is the probability of rolling a 6 or a number less than 3 on a die?

Back

P(6 or <3) = P(6) + P(<3) = 1/6 + 2/6 = 3/6 = 1/2.

Front

How do you find the probability that a person owns a cat or a dog given the percentages?

Back

P(cat or dog) = P(cat) + P(dog) - P(both) = 14/100 + 19/100 - 6/100 = 27/100.

Front

What are mutually exclusive events?

Back

Events that cannot happen at the same time.

Front

What are overlapping events?

Back

Events that can happen at the same time.

Front

If a die is rolled, what is the probability of rolling an even number?

Back

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

Front

What is the formula for calculating the probability of 'A or B'?

Back

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

Front

What is the probability of rolling a number greater than 4 or an odd number on a die?

Back

P(>4 or odd) = P(>4) + P(odd) - P(>4 and odd) = 2/6 + 3/6 - 1/6 = 4/6.

Front

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

Back

P(red or face) = P(red) + P(face) - P(red and face) = 26/52 + 12/52 - 6/52 = 32/52.

Front

What is the probability of getting a head or a tail when flipping a coin?

Back

P(head or tail) = P(head) + P(tail) = 1/2 + 1/2 = 1.