Question

Cards bearing numbers 1,3,5..35 are kept in a bag. A card is drawn at random from the bag. Find the probability of getting a card bearing
(a) a prime number less than 15
(b) a number divisible by 3 and 5

Answer 1

Answer:$\dfrac{6}{35} ,\dfrac{2}{35}$

Step-by-step explanation:

$probability=\frac{\text{number of favourable outcomes}}{\text{total number of outcomes}}$

Question a:

Number of prime numbers less than $15$ are $2,3,5,7,11,13$.

There are $6$ favourable outcomes.

There are $35$ total outcomes.

$probability=\frac{6}{35}$

Question b:

Numbers divisible divisible by $3$ and $5$ are $15,30$

There are $2$ favourable outcomes.

There are $35$ total outcomes.

$probability=\frac{2}{35}$