Question

There are 20 cards in a box. 10 of which are printed ‘I’ and 10 printed ‘T’. One by one three cards are drawn without  replacement and kept in the same order, the probability of making the word IIT is _______ 

(a) (5/38)

(b) (1/8) 

(c) (9/40)

(d) (9/80)   

Answer 1

The correct option (a) (5/38)   

Explanation:

10 cards with I & 10 cards with T. word to be formed is IIT. 

∴ P(event) = (10/20) × (9/19) × (10/18) = (45/342) = (5/38).