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A bag contains 100 tickets bearing numbers 1-100. A ticked is taken out randomly, find the probability of getting a ticket bearing a number which is the multiple of 25.

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0.5

0.04

1.0

0.05

answer is B.

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Detailed Solution

Given that a bag contains

100

tickets having numbers from

1

100

.
We have to find the probability of getting a ticket having a number which is a multiple of

25

.
Hence, total number of tickets,

n (S) = 100

Numbers from

1

100

which are multiples of

25

25, 50, 75, 100

Hence, total number of favourable outcomes,

n (E) = 4

.
We know that, probability

P (E) = \frac{n (E)}{n (S)}

∴

The probability of getting a ticket having a number which is a multiple of

25

P (E) = \frac{4}{100}

= 0.04

Hence, the required probability is

0.04

.
Therefore, option (2) is correct.

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