62.9k views
3 votes
what is the probability that a randomly selected two digit positive integer will be a multiple of 11 ? express your answer as a common fraction.

User Bimo
by
6.9k points

1 Answer

2 votes

The probability that a randomly selected two digit positive integer will be a multiple of 11 is
\bold{(1)/(10)}

Solution:

Number of sample space n(S):

Total number of two digit positive integers = 90

Favorable event P(A):

Two digit multiples of 11 =
\bold{(11, 22, 33, 44, 55, 66, 77, 88, 99)}

Number of favorable outcome n(A):

Total number of two digit multiples of 11 = 9

Let us consider the requires probability as P(A); number of favorable outcomes as n(A) and the number of sample space as n(S).

The probability formula is as follows,


$P(A)=\frac{\text { n(A)}}{\text { n(S) }}

On substituting the values in the above formula we get,


$\Rightarrow P(A)=(9)/(90)

On simplifying the above equation we get,


$\Rightarrow P(A)=(1)/(10)

The required probability is
\bold{(1)/(10)}

User Tornic
by
6.6k points