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? Express your answer as a fraction in simplified form.(1 point)

Question

_

Answer 1

To determine the probability of flipping a tail and landing on 5 with the spinner, we need to examine the individual probabilities of each event.

1. Probability of flipping a tail: Since a coin has two sides (heads and tails), the probability of flipping a tail is:

\[ P(\text{tail}) = \frac{1}{2} \]

2. Probability of landing on 5: The spinner is divided into six equally sized sections, so the probability of landing on any specific number, including 5, is:

\[ P(\text{5}) = \frac{1}{6} \]

3. Joint Probability: Since the coin flip and the spinner spin are independent events, we can calculate the joint probability of both events occurring (flipping a tail and landing on 5) by multiplying their individual probabilities:

\[ P(\text{tail and 5}) = P(\text{tail}) \times P(\text{5}) = \frac{1}{2} \times \frac{1}{6} = \frac{1}{12} \]

Thus, the probability of flipping a tail and landing on 5 is:

\[ \boxed{\frac{1}{12}} \]