Question

A box contains some cards numbered from 3 to 50. A card is drawn at random from the

box. Find the probability that the card drawn is (i) a perfect square (ii) a perfect cube.​

Answer 1

Step-by-step explanation:

Your question:-

1. To find the probability of getting a perfect square card from the box containing 47 cards.
2. To find the probability of getting a perfect cube card from the box containing 47 cards.

Your answer:-

• Total cards-47
• No of Cards having perfect square between number 3 to 50 are 6.
• No of cards having perfect cube between number 3 to 50 are 2.

Perfect squares and perfect cubes are the number that can be expressed in squares and cubes

For example:-25 is perfect square

5×5=25

For example:-8 is perfect cube

2×2×2=8

_______________________________

1. probability=No of probable outcomes/Total no of Outcomes

Probability of getting a perfect square:- 6/47=0.12

• Probability=No of total outcomes/Total no of Outcomes

Probability of getting a perfect cube:- 2/47=0.04