﻿ Box I contains 30 cards numbered I to 30 and Box II contains 20 cards numbered 31 to 50. A box is selected at random and a card is drawn from it. The number on the card is found to be a non-prime number. The probability that the card was drawn from Box I is : | Probability

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# Probability

#### Multiple Choice Questions

91.

92.

A speaks truth in 75% of the cases and B in 80% of the cases. Then, the probability that their statements about an incident do not match, is

• $\frac{7}{20}$

• $\frac{3}{20}$

• $\frac{2}{7}$

• $\frac{5}{7}$

93.

 X = x 1 2 3 4 P(X = x) $\mathrm{\lambda }$ $2\mathrm{\lambda }$ 3$\mathrm{\lambda }$ 4$\mathrm{\lambda }$

If

• 2 5

• 3 4

• 4 5

• 3 7

94.

• 0

• $\sqrt{2}$

95.

The number of different ways of preparing a garland using 6 distinct white roses and 5 distinct red roses such that no two red roses come together is

• 21600

• 43200

• 86400

• 151200

# 96.Box I contains 30 cards numbered I to 30 and Box II contains 20 cards numbered 31 to 50. A box is selected at random and a card is drawn from it. The number on the card is found to be a non-prime number. The probability that the card was drawn from Box I is :$\frac{2}{3}$ $\frac{2}{5}$ $\frac{8}{17}$ $\frac{4}{17}$

C.

$\frac{8}{17}$

97.

Let Ec denote the complement of an event E. Let E1, E2 and E3 be any pairwise independent events withP(E1) > 0 and  is equal to

98.

Two families with three members each and one family with four members are to be seated in a row. In how many ways can they be seated so that the same family members are not separated ?

• 2! 3! 4!

• 3!(4!)3

• 3! . 2 . (4!)

• (3!)3 . (4!)
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