Question

55. Two-digit numbers are formed from the digits 0, 1, 2, 3, 4. Repetition of the digits is allowed. What are the number of sample points in the sample space? (A) 20 (B) 16 (C) 12 (D) 8​

Answer 1

Answer:

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Step-by-step explanation:

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)=1610=85

(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)=165