Q7 of 54 Page 320

Five cards- the ten jack. Queen. King and ace of diamonds. Are well- shuffled with their face downwards. One card is selected at random.

If the queen is selected and put aside (without replacement). What is the probability that the second card selected is (a) an ace ? (b) a queen ?

(a)

queen is selected and put aside.


Remaining cards = 5 – 1


⇒ Remaining cards = 4


⇒ Total cases drawing a card at random = 4


⇒ One ace card.


∴ favourable cases to select ace = 1


⇒ probability that the second card selected is an ace –


⇒ P( card selected is an ace) =


⇒ P( card selected is an ace) =


∴ Probability selected card is an ace = .


(b) 0


queen is selected and put aside.


∴ number of favourable cases to select queen = 0


∴ probability that the second card selected is a queen will bw zero.


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