1.

What is the probability of extracting from a pack of cards (a) a court-card, (b) a red court-card?

Answer»


Solution :(a) There are THREE court-cards of each suit: the jack, the queen, the king. Therefore the total number of court-cards is `3 xx 4 = 12`.
(b) The number of red court-cards is `3 xx 2 = 6`. One can also reason as follows. The probability of extracting a red court-card is the probability of the compound event: extracting a court-card `(w_1 = = 12//36 = 1//3)` and extracting a red card `(w_2 = 1//2)`. The probability of a simultaneous realization of TWO independent events is the product of their individual probabilities:
`w = w_1w_2 = 1/3 CDOT 1/2 = 1/6`.


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