Question

A two-digit number is to be formed from the digits 0, 1, 2, 3, 4. Repetition of

the digits is allowed. Find the probability that the number so formed is a –

1) Prime number 2) multiple of 4 3) multiple of 11.​

Answer 1

Answer:

A two-digit number is to be formed from the digits 0, 1, 2, 3, 4.

S = { 10,11,12,13,14,20,22,21,23,24,30,31,32,33,34,40,

41,42,43,44}

n(S)= 20

Let A be the event that number so formed is a Prime number

A= { 11,13,23,31,41,43}

n(A)= 6

probability that the number so formed is a Prime number

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

= 6/20

= 3/10

2. Let B be the event that the number so formed is a multiple of 4

B= {12,20,24,32,40,44}

n(B)=6

probability that the number so formed is a multiple of 4

P(B)=6/20

=3/10

3.let C be the event that the number so formed is a multiple of 11

C = { 11,22,33,44}

n(C)=4

the probability that the number so formed is a multiple of 11.

P(C)=4/20

=1/5

Answer 2

Answer:

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