Question

Question :-

Two digit number is to be form from the numbers 4,6,7. Find the probability of getting a even number.​

Answer 1

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

​

Answer 2

Answer:

Question :-

Two digit number is to be form from the numbers 4,6,7. Find the probability of getting a even number.

Required Answer :-

Two digit number is to be form from the numbers 4,6,7.

Sample space :-

{46,47,64,67,74,76}

n(S) = 6

Event A :-

Two digit number is a even number

A = {46,64,74,76}

n(A) = 4

P(A) = n(A)/n(S)

P(A) = 4/6

P(A) = 2/3

Hope it help you :)

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