Home
Class 12
MATHS
If n integers taken art random are multi...

If `n` integers taken art random are multiplied together , then the probability that eh last digit of the product is 1, 3, 7, or 9 is

A

`(2^(n))/(5^(n))`

B

`(4^(n)-2^(n))/(5^(n))`

C

`(4^(n))/(5^(n))`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Clearly, the last digit of the product will be 1, 3, 7 or 9 iff each of the n positive integers ends in 1, 3, 7 or 9.
Now, the probability of an integer ending in 1, 3, 7 or 9 is `(4)/(10)=(2)/(5)`.
Therefore, the probability that the last digit of the product of n integers ending in 1, 3, 7 or 9 is `((2)/(5))^(n)`
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise PRACTICE EXERCISE (Exercies 2 (MISCELLANEOUS PROBLEMS))|30 Videos

  • PROBABILITY

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise Exercise 1 (TOPICAL PROBLEMS)|44 Videos

  • PRACTICE SET 24

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise Paper 2 (Mathmatics)|50 Videos

  • SEQUENCES AND SERIES

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise EXERCISE 31|1 Videos

Similar Questions

Explore conceptually related problems

If n integers taken at random are multiplied together, then the probability that the last digit of the product is 1, 3, 7 or 9 is

If n integers taken at random are multiplied together,then the probability that the last digit of the product is 1,3,7, or 9 is a.2^(n)/5^(n) b.4^(n)-2^(n)/5^(n) c.4^(n)/5^(n) d.none of these

If n positive integers are taken at random and multiplied together, then the probability that the last digit of the product is 2,4,6 or 8, is

If n positive integers are taken at random and multiplied together, then the probability that the last digit of the product is 2,4,6 or 8 is

If four whole numbers taken at random are multiplied together,then find the probability that the last digit in the product is 1,3,7 or 9.

Four whole numbers taken at random are multiplied together. What is the chance that the last digit in the product is 1, 3, 7 or 9 ?