You spin the spinner and flip a coin. Find the probability of the compound event. The probability of spinning a prime number and flipping tails is

1/6

Step-by-step explanation:

We first begin by identifying all sample spaces

Sample space of spinner (1,2,3,4,5,6) = 6

Sample space of a coin

(head, tail) = 2

1. The probability of spinning a prime number. All prime numbers in the sample space is 2,3,5

Pr (prime) = 3/6 = 1/3

2. The probability of flipping tails is

Pr (tail) = 1/2

Hence for the compound event

The probability is = (1/3) * (1/2)

= 1/6