MCQ
A bag contains $5$ brown and $4$ white socks. A man pulls out two socks. The probability that these are of the same colour is
- A$\frac{5}{{108}}$
- B$\frac{{18}}{{108}}$
- C$\frac{{30}}{{108}}$
- ✓$\frac{{48}}{{108}}$
The number of ways to select $2$ socks out of $9$ = $^9{C_2}$
If number of ways to select both brown socks $ = {\,^5}{C_2}$
And number of ways to select both white socks $ = {\,^4}{C_2}$
$\therefore \,P$ (Both brown or white) $ = \frac{{^5{C_2} + {\,^4}{C_2}}}{{^9{C_2}}} = \frac{{16}}{{36}} = \frac{{48}}{{108}}$.
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
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x
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1
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a
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$a^2$
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....
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$a^n$
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f
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$^nC_0$
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$^nC_1$
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$^nC_2$
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....
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$^nC_2$
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