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Solution


Q.

One card is drawn from a well shuffled deck of 52 cards. Then:

(i) the probability that the card will be diamond is 1/2.

(ii) the probability that the card will be an ace of heart is 1/52.

(iii) the probability that the card will not be a card of hearts is 3/4.

(iv) the probability that the card will be a king or queen is 1/26.

Choose correct option from the following:
1 (i), (ii) and (iii)  
2 (i), (iii) and (iv)
 
3 (ii) and (iii)  
4 (ii), (iii) and (iv)  

Ans.

(3)

It is given that one card is drawn from a well shuffled deck of 52 cards.
So, the number of possible outcomes = 52

(i) There are 13 cards of diamond in a deck

So, probability of getting a card of diamond = 13/52 = 1/4, statement (i) is not true.

(ii) There is one ace of heart in a deck.
So, probability of getting an ace of heart =1/52, statement (ii) is true.

(iii) There are 39 cards which are not a heart So, probability of not getting a heart = 39/52 = 3/4, statement (iii) is true.

(iv) There are 8 cards which are king or queen. Probability of getting a king or queen = 8/52, 2/13, statement (iv) is not true.

So, options (ii) and (iii) are correct.