Probability - Arithmetic Aptitude Questions and Answers

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Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is even?

$\frac { 1 } { 2 }$

$\frac { 3 } { 4 }$

$\frac { 3 } { 8 }$

$\frac { 5 } { 16 }$

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Answer : Option B

Explanation :

In a simultaneous throw of two dice, we have n(S) = (6 x 6) = 36.

Then, E

= {(1, 2), (1, 4), (1, 6), (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6), (3, 2), (3, 4),
(3, 6), (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6), (5, 2), (5, 4), (5, 6), (6, 1),
(6, 2), (6, 3), (6, 4), (6, 5), (6, 6)}

n(E) = 27.

P(E) = $\frac { n(E) } { n(s) }$ = $\frac { 27 } { 36 }$ = $\frac { 3 } { 4 }$

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