The Probability that he would get at least one nestle chocolate is 19/21.
Given that:
The number of nestle chocolates = 10
The number of Cadbury chocolates = 5
And we have to find probability of getting at least one nestle chocolates when two chocolates are drawn.
What is the probability of occurring of an event?
Probability of occurring of an event is nothing but ratio of is number of favorable outcomes and total number of outcomes.
Now,
For getting at least one nestle we have two cases:
When he draws one nestle and one Cadbury chocolates, then number of ways of getting chocolates in this case =
And when he draws two nestle chocolates only , then number of ways of getting chocolates in this case =
Therefore, number of favorable outcomes =
= (10x5) + (10x9)/2
= 95
Since total number of outcomes is the number of ways of drawing two chocolates from all the 15 chocolates =
= 15x14/2
= 105
Now the required probability = 95/105
= 19/21
Hence, The Probability that he would get at least one nestle chocolate is 19/21.
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