# Five cards − the ten, jack, queen, king and ace of diamonds,

Question:

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

(i) What is the probability that the card is the queen?

(ii) If the queen is drawn and put a side, what is the probability that the second card picked up is

(a) an ace?

(b) a queen?

Solution:

GIVEN: Five cards-the ten, jack, queen, king and ace of diamond are well shuffled with their face downwards of cards. One card is drawn at random.

TO FIND: Probability that

(i) The card is the queen.

(ii) If the queen is drawn and left aside, what is the probability that the second card picked up is (a) an ace (b) a queen

Total number of cards is 5

(i) Total number of queens is 1

We know that PROBABILITY =

Hence probability that the card taken out is queen is equal to

(ii) When queen is drawn and left aside.

Hence Total number of cards left is 4

(a) Total number of ace card is 1

We know that PROBABILITY =

Hence probability that the card taken out is an ace is equal to

(b) Total numbers of queen is 0

We know that PROBABILITY =

Hence probabilities that card taken out is queen