Question

the 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.mutiple of 4 3.mutiple of 11

Answer 1

Answer:

Step-by-step explanation:

To find total number of possible outcomes we will use combination

We are given that repetition is allowed.

Now total no. of digite are {0,1,2,3,4} = 5

Out which we are supposed to make 2 digit number

So, n = 5

r = 1

Now for tens place we have selected the digit

Now for ones Place since the repetition is allowed .So, n will remain 6

So, n = 5

r= 1

So, total possible outcomes = 6*6 = 36

1)prime number

Total outcomes = 36

Prime numbers can be made from given digits = {11,13,23,31,41,43} = 6

So, probability that the number so formed is a prime =

(2) multiple of 4

Multiple of 4 can be made from given digits = {12,20,24,32,40,44} = 6

So, probability that the number so formed is a Multiple of 4 =

3)multiple of 11.

Multiple of 11  can be made from given digits = {11,22,33,44} = 4

So, probability that the number so formed is a Multiple of 11 =

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