1.

One card is drawn from a well shuffled deck of 52 cards. If each outcome is equally. likely, calculate the probability that the card will be (a) a diamond (b) not a diamond (c) a black card

Answer»

(i) Let A: Card drawn is diamond. 

∴ n(A) = 13 → favourable number of events.

P(A) = (favourable number of events)/(total number of events) = 13/52 = 1/4

(ii) P(Ā ) = P(not A) = 1 – P(A) = 1 – 1/4 = 3/4 

(iii) There are 26 black cards 

∴ P(black) = 522



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