Q62 / 150 · MHT CET 2019 (02 May Shift 1) · Mathematics

A bag contain $s 6$ white and $4$ black balls. Two balls are drawn at random. The probability that they are of the same colour is ________

A
$\frac{5}{7}$
B
$\frac{1}{7}$
Correct answer
C
$\frac{7}{15}$
D
$\frac{1}{15}$

Solution

Given bag contains

6

white and

4

black balls.
Hence, required probability

= \frac{^{6} C_{2} +^{4} C_{2}}{10_{c_{2}}} = \frac{15 + 6}{45} = \frac{7}{15}

Hence, the correct answer is option: 'C'.

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