A day full of math games & activities. Find one near you.

Box A contains 25 slips of which 19 are marked Re 1 and other are marked Rs 5 each. Box B contains 50 slips of which 45 are marked Re 1 each and others are marked Rs 13 each. Slips of both boxes are poured into a third box and reshuffled. A slip is drawn at random. What is the probability that it is marked other than Re 1

Solution:

Given, box A contains 25 slips of which 19 are marked Re. 1 and other are marked Rs. 5 each.

Box B contains 50 slips of which 45 are marked Re. 1 each and others are marked Rs. 13 each.

Slips of both boxes are poured into a third box and reshuffled.

A slip is drawn at random.

We have to find the probability of selecting a slip that is marked other than Re. 1.

Considering box A,

Total number of slips = 25

19 slips are marked Re. 1

Slips marked Rs. 5 = 25 - 19 = 6

Considering box B,

Total number of slips = 50

45 slips are marked with Re. 1

Slips marked Rs. 13 = 50 - 45 = 5

Considering third box,

Slips marked Re. 1 = 19 + 45 = 64

Slips marked Rs. 5 = 6

Slips marked Rs. 13 = 5

Total number of slips = 25 + 50 = 75

Favourable outcomes = slips marked other than Re.1

Slips marked other than Re. 1 = slips marked Rs. 5 and slips marked Rs. 13

Number of favourable outcomes = 6 + 5 = 11

Number of possible outcomes = 75

Probability = number of favourable outcomes / number of possible outcomes

Probability = 11/75

Therefore, the probability of selecting a slip that is marked other than Re.1 is 11/75.

✦ Try This: Box A contains 37 slips of which 22 are marked Re 1 and other are marked Rs 5 each. Box B contains 55 slips of which 25 are marked Re 1 each and others are marked Rs 13 each. Slips of both boxes are poured into a third box and reshuffled. A slip is drawn at random. What is the probability that it is marked other than Re 1?

☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 14

NCERT Exemplar Class 10 Maths Exercise 13.3 Problem 35

Box A contains 25 slips of which 19 are marked Re 1 and other are marked Rs 5 each. Box B contains 50 slips of which 45 are marked Re 1 each and others are marked Rs 13 each. Slips of both boxes are poured into a third box and reshuffled. A slip is drawn at random. What is the probability that it is marked other than Re 1

Summary:

Box A contains 25 slips of which 19 are marked Re 1 and other are marked Rs 5 each. Box B contains 50 slips of which 45 are marked Re 1 each and others are marked Rs 13 each. Slips of both boxes are poured into a third box and resuffled. A slip is drawn at random. The probability that it is marked other than Re 1 is 11/75

☛ Related Questions: