Question

Out of $15$ persons $10$ can speak Hindi and $8$ can speak English. If two persons are chosen at random, then the probability that one person speaks Hindi only and the other speaks both Hindi and English is

• A. 44625
• B. 44754
• C. 44566
• D. 44597

Answer 1

Answer: (C)

44566

Answer 2

Total number of persons = 15 Number of persons who can speak Hindi =10 Number of persons who can speak English = 8 and number of persons who can speak Hindi and English both
$=10+8-15=3$
$\therefore$ Required probability
$=\frac{^{7}{{C}_{1}}{{\times }^{3}}{{C}_{1}}}{^{15}{{C}_{2}}}=\frac{7\times 3}{15\times 14}=\frac{1}{5}$