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NDA 2024

Exam: NDA
Year: 2024
Subject: Mathematics
Chapter: Probability

NDA 2024 · Mathematics · Probability

Two perfect dice are thrown. What is the probability that the sum...

Two perfect dice are thrown. What is the probability that the sum of the numbers on the faces is neither 9 nor 10 ?

Options

A $\frac{1}{36}$
B $\frac{5}{36}$
C $\frac{7}{36}$
D $\frac{29}{36}$

Correct answer

D. $\frac{29}{36}$

Step-by-step solution

n(s)=6 \times 6=36

Sum of the numbers on the faces

9=(3,6),(4,5),(5,4)

,

(6,3)

Sum of the numbers on the faces

10:(4,6),(5,5),(6,4)P(

sum 9 or 10

)=\frac{7}{36}\therefore \quad \mathrm{P}(

sum is neither 9 nor 10

)=1-\frac{7}{36}=\frac{29}{36}

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