A card is drawn at random from a pack of cards. probability of this card being a red or a queen is

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14.Probability

easy

A card is drawn at random from a pack of cards. The probability of this card being a red or a queen is

A

$\frac{1}{{13}}$

B

$\frac{1}{{26}}$

C

$\frac{1}{2}$

D

$\frac{7}{{13}}$

Solution

(d) Required probability is

$P({\rm{Red}} + {\rm{Queen}}) – P({\rm{Red}} \cap {\rm{Queen}})$

$ = P({\rm{Red}}) + P({\rm{Queen}}) – 2P({\rm{Red}} \cap {\rm{Queen}})$

$ = \frac{{26}}{{52}} + \frac{4}{{52}} – \frac{2}{{52}} = \frac{{28}}{{52}} = \frac{7}{{13}}.$

Standard 11

Mathematics

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