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Question: You are given a box with 20 cards in it. 10 of these cards have the letter I printed on them. The ot...

You are given a box with 20 cards in it. 10 of these cards have the letter I printed on them. The other ten have the letter T printed on them. If you pick up 3 cards at random and keep them in the same order, the probability of making the word IIT is-

A

9/80

B

1/8

C

4/27

D

5/38

Answer

5/38

Explanation

Solution

P(IIT) = 1020\frac { 10 } { 20 } ×919\frac { 9 } { 19 }×1018\frac { 10 } { 18 }