Correct Answer: Option A
Total number of balls = (2 + 3 + 2) = 7.
Let S be the sample space.
Then, n(S) = Number of ways of drawing 2 balls out of 7
= 7C2
=(7 x 6)/ (2 x 1)
= 21.
Let E = Event of drawing 2 balls, none of which is blue.
So, n(E) = Number of ways of drawing 2 balls out of (2 + 3) balls.
= 5C2
=(5 x 4)/ (2 x 1)
= 10.
So, P(E) = n(E)/ n(S) = 10/21.
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