A number is selected at random from the set of number {11,12,....99}.What is the probability that selected number contains the digit 9?
Answers
Answer:
Step-by-step explanation:
Total no. Which have last digit as 9= 10
Let the given event we assume as a
.°. P(A)= no. with last digit as 9/total no.
.°. P(A)= 10/89
Given,
The set of numbers = {11,12,---, 99}
To find,
The probability that the selected number contains the digit 9.
Solution,
The probability that the selected number containing the digit 9 will be 18/89.
We can easily solve this problem by following the given steps.
We know that the probability of an event is found using the following formula:
P(E) = Number of favourable outcomes/total number of outcomes
According to the question,
The set of numbers = {11,12,---, 99}
So, the total number of outcomes will be (99-11)+1.
Total number of outcomes = 89
Now, the numbers containing the digit 9 = 19,29,39,49,59,69,79,89,90,91,92,93,94,95,96,97,98 and 99 (total = 18)
P(E) = 18/89
Hence, the probability that the selected number contains the digit 9 is 18/89.