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# Cards with numbers 2 to 101 are placed in a box. A card is selected at random. Find the probability that the card has a square number

**Solution:**

Given, cards with numbers 2 to 101 are placed in a box.

A card is selected at random.

We have to find the probability that the card has a square number.

The probability of selecting a card that has a square number is given by

Cards with square numbers between 2 to 101 = (2)², (3)², (4)², (5)², (6)², (7)², (8)², (9)², (10)²

Favourable outcomes = 4, 9, 16, 25, 36, 49, 64, 81, 100

Number of favourable outcomes = 9

Number of possible outcomes = 100

Probability = number of favoruable outcomes / number of possible outcomes

Probability = 9/100

Therefore, the probability of selecting a card that has a square number is 9/100.

**✦ Try This: **Cards with numbers 102 to 201 are placed in a box. A card is selected at random. Find the probability that the card has a prime number.

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

**NCERT Exemplar Class 10 Maths Exercise 13.3 Problem 32(ii)**

## Cards with numbers 2 to 101 are placed in a box. A card is selected at random. Find the probability that the card has a square number

**Summary:**

Cards with numbers 2 to 101 are placed in a box. A card is selected at random. The probability that the card has a square number is 9/100

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