a coin is flipped and a spinner is spun simultaneously. the spinner is divided into six equally sized…

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)

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

Explanation:

Step1: Find probability of flipping a tail

A coin has 2 sides. Probability of getting a tail, $P(T)=\frac{1}{2}$.

Step2: Find probability of landing on 5 on spinner

Spinner has 6 sections. Probability of landing on 5, $P(5)=\frac{1}{6}$.

Step3: Use multiplication rule for independent events

Since coin - flip and spinner - spin are independent, $P(T\cap5)=P(T)\times P(5)$. $P(T\cap5)=\frac{1}{2}\times\frac{1}{6}=\frac{1\times1}{2\times6}=\frac{1}{12}$

Answer:

$\frac{1}{12}$