ABC26GN5344 · Probability

Subject: General Aptitude · Chapter: Probability · Exam: · Marks: · Difficulty:

Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is even ?
(a)$\frac{1}{2}$
(b)$\frac{3}{4}$
(c)$\frac{3}{8}$
(d)$\frac{5}{16}$
Answer
Answer (as printed): B
Explanation
In a simultaneous throw of two dice, we have $n(\mathrm{S})=$ $(6 \times 6)=36$. Let $E=$ event of getting two numbers whose product is even. 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)\}. $$\begin{array}{ll} \therefore & n(E)=27 . \\ \therefore & P(E)=\frac{n(E)}{n(S)}=\frac{27}{36}=\frac{3}{4} . \end{array}$$

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