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Question

If I pick a red ball 10 times out of 30 times from a bag that contains red and black balls, then the probability of picking a black ball is:

A
14
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B
13
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C
23
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D
12
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Solution

The correct option is C 23
We know, probability of an event E is given by,
P(E)=Number of trials where the event happenedTotal number of trials

Probability of picking a red ball
=1030=13

We know that the sum of probabilities of all possible outcomes of an event is 1.
Hence, the probability of picking a black ball
= 1- (Probability of picking a red ball)
= 113
= 23

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