Question

Q2. Cards numbered 1 to 60 are kept in a box. If a card is drawn at random from the bom,
find the probability that the number on the drawn card is
(a) an odd number
(b) a perfect square number​

Answer 1

Given:

Cards kept in a box is numbered from

• 1 to 60

What To Find:

We have to find the -

• Probability of getting an odd number.
• Probability of getting a perfect square.

Solution:

• a. An odd number.

⇒ Odd numbers from 1 to 60 = 1, 3, 5, 7, . . . . 53, 55, 57, 59

⇒ Number of odd numbers or outcomes = 30

⇒ Total number of outcomes = 60

⇒ Probability = Number of outcomes ÷ Total number of outcomes

⇒ Probability = 30 ÷ 60

⇒ Probability = 1/2 = 0.5

• b. A perfect square number.

⇒ Perfect squares from 1 to 60 = 1, 4, 9, 16, 25, 36, 49

⇒ Number of outcomes = 7

⇒ Total number of outcomes = 60

⇒ Probability = Number of outcomes ÷ Total number of outcomes

⇒ Probability = 7 ÷ 60

⇒ Probability = 7/60

Final Answer:

∴ Thus, -

• a. Probability of getting an odd number is 1/2
• b. Probability of getting a perfect square number is 7/60.