Question

Rico spins the spinner twice and determines the sums of the spins. Fill in the sample space to determine the possible outcomes. What is the probability that Rico will get a sum less than or equal to 8? A 13\frac{1}{3} 3 1 ​ B 23\frac{2}{3} 3 2 ​ C 89\frac{8}{9} 9 8 ​ D 59\frac{5}{9} 9 5 ​

Answer 1

2/3

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