What is the probability that the card is a queen, Mathematics

Assignment Help:

Five cards - the ten, jack, queen, king and ace, are well shuffled with their face downwards. One card is then picked up at random.

(i) 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) 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

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