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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 ​

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Answer:

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

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