1.

One card is drawn from a well-shuffled deck of 52 cards. Calculate the probability that the card will(i) be an ace,(ii) not be an ace.

Answer»

Well-shuffling ensures equally likely outcomes.

(i) There are 4 aces in a deck. Let E be the event ‘the card is an ace’. 

The number of outcomes favourable to E = 4

The number of possible outcomes = 52 

Therefore, P(E) = 4/52 = 1/13

(ii) Let F be the event ‘card drawn is not an ace’.

The number of outcomes favourable to the event F = 52 – 4 = 48

The number of possible outcomes = 52

Therefore,

P(E)=48/52=12/13



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