Question

# In a lottery of $$50$$ tickets numbered $$1$$ to $$50$$, two tickets are drawn simultaneously. The probability that both the tickets drawn have prime numbers.

A
135
B
1635
C
735
D
335

Solution

## The correct option is D $$\dfrac{3}{35}$$Number of prime numbers between $$1$$ to $$50$$ is $$15$$So probability of getting a prime number in the first draw will be $$=\dfrac{15}{50}$$If one card is drawn from the pack of lottery tickets.The number of prime numbers remaining in the bunch will be $$14$$Total lottery tickets remaining in the bunch $$=49$$The probability of getting a prime number $$\dfrac{14}{49}$$So, the probability of getting prime numbers in two draws $$=\dfrac{15}{50}\times \dfrac{14}{49}=\dfrac{3}{35}$$Maths

Suggest Corrections

0

Similar questions
View More

People also searched for
View More