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There are 12 Pink, 16 Brown and 20 black color caps in a box. If a cap is picked at random, what is the probability of having either a pink or a Black Cap?

There are 12 Pink, 16 Brown and 20 black color caps in a box. If a cap is picked at random, what is the probability of having either a pink or a Black Cap? Correct Answer 2/3

Given:

Black color caps = 20

Brown color caps = 16

Pink color caps = 12

Formula Used:

P(E1 or E2) = P(E1) + P(E2)

Calculations:

Let E1, E2 be the event of picking a pink cap and black cap respectively.

Total no. of caps in a box = 12 + 16 + 20 = 48

E1 = 12 /48 = 1/4

E2 = 20 /48 = 5/12

P(E1 or E2) = P(E1) + P(E2)

P(E1 or E2) = 1/4 + 5/12

P(E1 or E2)  = 2/3

Hence, 2/3 is the probability to select a pink or a black cap

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