Question

Two digit numbers are formed from the digits 0,1,2,3,4 where digits are not repeated find the probability of event that
b. the number formed is a prime number​

Answer 1

Answer:

Two-digit numbers are formed from the digits 0,1,2,3,4 without repeating the digits.

∴ Sample space S={10,12,13,14,20,21,23,24,31,32,34,40,41,42,43}

∴n(S)=16

(1) Let A be the event of getting an even number.

A={10,12,14,20,24,30,32,34,40,42}

∴n(A)=10

Probability, P(A)=

n(S)

n(A)

=

16

10

=

8

5

(2) Let B the event of getting a prime number.

B={13,23,31,41,43}

∴n(B)=5

Probability, P(B)=

n(S)

n(B)

=

16

5