One ticket is drawn at random from a bag containing tickets numbered 1 to 40.

Question:

One ticket is drawn at random from a bag containing tickets numbered 1 to 40. The probability that the selected ticket has a number, which is a multiple of 7, is         

(a) $\frac{1}{7}$

(b) $\frac{1}{8}$

(c) $\frac{1}{5}$

(d) $\frac{7}{40}$

 

Solution:

​Total number of tickets = 40.

Out of the given numbers, multiples of 7 are 7, 14, 21, 28 and 35.

Numbers of favourable outcomes = 5.

$\therefore P($ getting a number which is a multiple of 7$)=\frac{\text { Number of favourable outcomes }}{\text { Number of all possible outcomes }}$

$=\frac{5}{40}=\frac{1}{8}$

Thus, the probability that the selected ticket has a number, which is a multiple of 7, is $\frac{1}{8}$.

Hence, the correct answer is option (b).

 

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