Question

Two-digit numbers are formed out of the digits 0, 3, 4, 8, 9 where digits are not repeated. Find the probability of the event that :-

(i) The number formed is an odd number.

(ii) The number formed is less than 80.

(iii) The number formed is divisible by 4.

(iv) The number formed is greater than 83.​

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

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Step-by-step explanation:

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