Question

Cards bearing numbers 3,5...35 are kept in a bag. A card is drawn at random from the bag. Find the probability of getting a card bearing
(a)prime number less than 15
(b) a number divisible by 3 and 5

Answer 1

this is the right answer bro

Answer 2

Answer:  a) $\frac{5}{17}$

b) $\frac{9}{17}$

Step-by-step explanation:

Since we have given that

Number written on cards = 3,5............35

(a) prime number less than 15

Favourable outcomes is given by

$\{3,5,7,11,13\}$

Number of favourable outcomes = 5

Total number of outcomes = 17

So, Probability of getting a prime number less than 15 is given by

$\frac{\text{Number of favourable outcome}}{\text{ Total number of outcomes}}\\\\=\frac{5}{17}$

(b) a number divisible by 3 and 5

Favourable outcomes is given by

$\{3,5,9,15,21,25,27,33,35\}$

Number of favourable outcome = 9

So, Probability of getting a number divisible by 3 and 5 is given by

$\frac{\text{Number of favourable outcome}}{\text{ Total number of outcomes}}\\\\=\frac{9}{17}$

Hence, a) $\frac{5}{17}$

b) $\frac{9}{17}$