AIEEE 2011 Solved Paper

Given that C⊂D means C is present entirely inside D. Which is shown below.P(‌

C

D

)=‌

P(C∩D)

P(D)

=‌

P(C)

P(D)

As C∩D means common part of events C and D which is equal to C.‌0≤P(D)≤1
‌∴‌

P(C)

P(D)

≥P(C)
Note: Here we are dividing with P(D) which is ≤1 and ≥0, as we know on dividing with a number n in the range 0≤n≤1 we get always more than or equal to the original number.