Arun draws 3 balls at random from a basket which contains 4 red and 5 blue balls

Question

Arun draws 3 balls at random from a basket which contains 4 red and 5 blue balls. What are the odds in favour of these being all blue?

Options:

A . 5 : 42

B . 5 : 37

C . 4 : 43

D . 4 : 50

Answer: Option B
:
B
Probability of all three balls being blue =

\frac{^{5} C_{3}}{^{9} C_{3}}

\frac{5}{52}

Odds in favour of being blue =

\frac{5}{(42 - 5)}

= 5 : 37

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