Question

A coin is flipped and a spinner is spun simultaneously. The spinner is divided into six equally sized sections labeled with 1, 2, 3, 4, 5, 6. What is the probability of flipping a tail and landing on 5? (1 point)

Answer 1

If two events are independent, the probability of both events occurring is the product of their individual probability. Events A and B are independent with P(A)=0.3 and P(B)=0.25 . What is the probability of events A and B happening at the same time? Write your answer in decimal form.(1 point)

Answer 2

The probability of flipping a tail is 1/2 since there are only two possible outcomes (head or tail) and each are equally likely.

The probability of landing on 5 on the spinner is 1/6 since there are 6 sections on the spinner and only one of them is labeled with a 5.

To find the probability of both events happening, we multiply the probabilities together:

1/2 (probability of flipping a tail) * 1/6 (probability of landing on 5) = 1/12

Therefore, the probability of flipping a tail and landing on 5 is 1/12.

Answer 3

To find the probability of both independent events A and B happening at the same time, you multiply their individual probabilities together.

P(A and B) = P(A) * P(B)

Given:
P(A) = 0.3
P(B) = 0.25

P(A and B) = 0.3 * 0.25 = 0.075

Therefore, the probability of events A and B happening at the same time is 0.075.