Question

Cards marked with numbers 5-50 are placed in a box and mix thoroughly. A card is drawn from the box at random. Find the probability that the number on the card is a) a prime number less than 10 b) a number which is a perfect square

Answer 1

Answer:

a) $\text{Probability}=\frac{1}{23}$

b) $\text{Probability}=\frac{5}{46}$

Step-by-step explanation:

Given : Cards marked with numbers 5-50 are placed in a box and mix thoroughly. A card is drawn from the box at random.

To find : The probability that the number on the card is

a) a prime number less than 10

b) a number which is a perfect square

Solution :

$\text{Probability}=\frac{\text{Favorable outcome}}{\text{Total number of outcome}}$

Cards marked with numbers 5-50.

The sample size is 46.

a) A prime number less than 10

Favorable outcome ( a prime number less than 10) =5 and 7=2

Total number of outcome = 46

Probability of a prime number less than 10

$\text{Probability}=\frac{2}{46}$

$\text{Probability}=\frac{1}{23}$

b) A number which is a perfect square

Favorable outcome (a number which is a perfect square) =9,16,25,36,49=5

Total number of outcome = 46

Probability of a number which is a perfect square

$\text{Probability}=\frac{5}{46}$

Answer 2

answer:a)1/23

b)5/46