Question

Numbers 2 to 8 are written on separate slips, which are kept in a box and shuffled well. One slip is chosen from the box without looking at it. What is the probability of getting the following?
a) Number 7.
b) Number greater than 7.
c) Number less than 7

Answer 1

============================================================

The numbers written on the slips vary from 2 to 8.

The Sample space = {2,3,4,5,6,7,8}

n ( S) = 7

Now,

a) Probability of getting 7.

Number of favorable outcomes = 1

Total outcomes = 7

Therefore, Probability of getting 7 $= \frac{1}{7}$

b) Probability of getting a number greater than 7.

From the slips, Number greater than 7 = 8

So, Number of favorable outcomes = 1

Therefore, Probability of getting a number greater than 7 = $\frac{1}{7}$

c) Probability of getting a number less than 7.

From the slips, Numbers less than 7 are 2, 3, 4, 5, 6.

Number of favorable outcomes = 5.

Therefore, Probability of getting a number less than 7 $= \frac{5}{7}$
===================================================