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)

Answer 1

To find the probability of flipping a tail and landing on 5, we first need to calculate the individual probabilities of each event and then multiply them.

1. Probability of flipping a tail: A standard coin has two sides (heads and tails), so the probability of flipping a tail is: \[ P(\text{Tail}) = \frac{1}{2} \]

2. Probability of landing on 5 with the spinner: The spinner is divided into six equally sized sections, so the probability of landing on any specific number, including 5, is: \[ P(5) = \frac{1}{6} \]

3. Combined probability of both events happening: Since the coin flip and the spinner spin are independent events, we multiply their probabilities: \[ P(\text{Tail and 5}) = P(\text{Tail}) \times P(5) = \frac{1}{2} \times \frac{1}{6} = \frac{1}{12} \]

Therefore, the probability of flipping a tail and landing on 5 is: \[ \boxed{\frac{1}{12}} \]