A bag contains 6 white, 4 black and 2 blue balls. Find the chance of either a getting black or blue ball in a single draw.
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665Q:
A bag contains 6 white and 4 black balls .2 balls are drawn at random. Find the probability that they are of same colour.
A) 1/2
B) 7/15
C) 8/15
D) 1/9
Answer: B) 7/15
Explanation:
Let S be the sample space
Then n(S) = no of ways of drawing 2 balls out of (6+4) =10C2 10 =10*92*1 =45
Let E = event of getting both balls of same colour
Then,n(E) = no of ways (2 balls out of six) or (2 balls out of 4)
=6C2+4C2 = 6*52*1+4*32*1= 15+6 = 21
Therefore, P(E) = n(E)/n(S) = 21/45 = 7/15
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6/12 .
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