probability

Question

India plays two matches each with West Indies and Srilanka. In any match the probabilities of India getting points 0,1 and 2 are 0.45,0.05 and 0.50 respectively. Assuming that the outcomes are independent, the probability of India getting at least 7 points is?

a) 0.8750    b) 0.0875   c) 0.0625    d) 0.0250

Comments

how India can get 7 points when there are 2 matches and highest point is 2?

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@manu00x 2 matches each

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There is a printing mistake.. the probability of scoring 1 point is 0.05 not 0.005 as (0.45+0.05+0.50) = 1

Once we consider this, it is a fairly straight forward question

Answer 1

There are 4 matches to be played, For at least 7 points, India should either win 7 points or 8 points.

P(winning 7 points) = win 2 points in 3 matches and win 1 point in one match.
=$4C3*0.5^{3}*0.05^{1}$ = 4*0.125*0.05 =  0.025

P(winning 8 pints) = $4C4*0.5^{4}$ =0.0625
P(at least 7) = P( 7 points ) + P( 8 points) = 0.025+0.0625 = 0.0875
 

Option (b)!

Comments

sorry, bro....edited

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I edited my solution accordingly!

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I am getting no error in solution. what is answer of it?