In a single throw of two dice , find the… | Answer | TuitionWave

Subject

Quantitative Aptitude

Topic

Probability

In a single throw of two dice , find the probability that neither a doublet nor a total of 8 will appear
Reading

ক)

7/15

খ)

5/18

গ)

13/18

ঘ)

3/16

Explanation

n(S) = 36 A = {(1, 1), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6)} B = { (2, 6), (3, 5), (4, 4), (5, 3), (6, 2) }

n\left(A\right)=6,\;n\left(B\right)=5,\;n\left(A\cap B\right)=1

∴ Required probability =

P\left(A\cup B\right)

=

P\left(A\right)+P\left(B\right)-P\left(A\cap B\right)

=

\frac6{36}+\frac5{36}-\frac1{36}

=

\frac5{18}

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