Question

A card is drawn from a pack of 52 cards.Find the probability of getting a queen or a diamond or a black card

Answer by step by step

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Answer 1

Step-by-step explanation:no of queens=4 (Q)

no of black cards=26(B)

no of diamonds=13(D)

n(B U D U Q)=40 probability of getting queen or diamonds or black card is =40/52 = 10/13

Answer 2

Answer:

total number of cards are 52

in case of not mutually exclusive

p(a+b+c) = P(A)+P(B)+P(C)-P(AB)-P(BC)-P(CA)+P(ABC)

P(a+b+c) = 4/52+13/52+26/52-1/52-2/52

p(a+b+c) = 10/13

10/13 is the probability of getting a Queen Diamond or a black card

note -

In Mutually we have to subtract all the common events between all the other possibilities

like black two black card are already in queens

so we subtract it by 2/52 in P(CA)

there is no common in P(Bc) and P(ABC)