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?
Since flipping a coin and spinning a spinner are independent events, we can find the probability of both events happening by multiplying the probabilities of each event happening individually.
The probability of flipping a tail is 1/2 (since there are two equally likely outcomes, heads or tails).
The probability of landing on 5 on the spinner is 1/6 (since there are six equally likely outcomes, labeled 1,2,3,4,5,6).
So the probability of flipping a tail and landing on 5 is:
(1/2) * (1/6) = 1/12
Therefore, the probability of flipping a tail and landing on 5 is 1/12 or approximately 0.0833 (8.33%).