What is the probability that the card is a queen, Mathematics
What is the probability that the card is a queen, Mathematics
Five cards – the ten, jack, queen, king and ace, are well shuffled with their face downwards. One card is then picked up at random.
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(i)Â What is the probability that the card is a queen?
(ii) If the queen is drawn and put aside, what is the probability that the second card picked up is a                                         (a) an ace             (b) a queen                     (Ans:1/5 , 1/4 ,0 )
Ans : Here, the total number of elementary events = 5
(i)Â Since, there is only one queen
∴ Favourable number of elementary events = 1
∴Probability of getting the card of queen = 1/5
(ii) Now, the total number of elementary events = 4
(a) Since, there is only one ace
∴ Favourable number of elementary events = 1
∴Probability of getting an ace card = 1/4
(b) Since, there is no queen (as queen is put aside)
∴ Favourable number of elementary events = 0
∴Probability of getting a queen = 0/4 = 0
