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jessica is playing a game with the two spinners shown below:

an image of two spinners is shown. the first spinner has four sectors labeled 1, 2, 3, and 4. the second spinner also has four sectors but labeled 2, 4, 6, 8.

she will win the game if the product of the two spinners is an even number greater than twelve. what are all of the possible outcomes in which jessica wins the game?

a. {1, 2, 3, 4, 6, 8}
b. {12, 16, 18, 24, 32}
c, {2, 4, 6, 8, 12, 16, 18, 24, 32}
d, {16, 18, 24, 32}

D, {16, 18, 24, 32}

Step-by-step explanation:

Given: Jessica is playing a game with the two spinners.

She will win the game if the product of the two spinners is an even number greater than twelve.

The numbers on Spinner 1:- 1, 2, 3, 4

The numbers on Spinner 2:- 2, 4, 6, 8

To get even number we multiply even numbers to odd or even numbers, we get

But she needs number greater than 12.

Therefore, the possible outcomes in which Jessica wins the game = {16, 18, 24, 32}

2/3

Step-by-step explanation:

Sample space for the sum of 2 spins :

Number on spinner = 2, 5, 4

____ 2 ___ 5 _____4

2___ 4 ___ 7 _____ 6

|

5___ 7 ___ 10 ____ 9

|

4___ 6 ___ 9 ____ 8

Hence,

(4, 7, 6, 7, 10, 9, 6, 9, 8)

Probability of getting a sum less than or equal to 8;

Probability = required outcome / Total possible outcomes

Required outcome =, sum ≤ 8 = 6

Total possible outcomes = 9

P(sum ≤ 8) = 6/9 = 2/3