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)
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.
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)
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.