Question #294240

A card is drawn at random from a pack of 52 cards.find the chance that, it is red it is king it is either red or a king

Expert's answer

Total number of cards is 52.

Number of red cards is 26.

Number of kings is 4.

Therefore,

The probability that the card chosen is red is p(red)= 2652=12{26\over 52}={1\over2}

The probability that the card chosen is a king is p(king)= 452=113{4\over52}={1\over13}

Note that 2 cards of king are red.

Therefore, the probability that the card chosen is either a red or a king is given as,

p(either red or a king)=26+4252=2852=713{26+4-2\over52}={28\over52}={7\over13}


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