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1. This question involves dealing cards from a well-shuffled, standard deck. a)

ID: 3171367 • Letter: 1

Question

1. This question involves dealing cards from a well-shuffled, standard deck.

a) The following line of reasoning is incorrect: "Because of the addition rule, the probability that the top card is the jack of clubs and the bottom card is the jack of hearts is 2/52." Point out the flaw in this argument.

b) The following line of reasoning is also incorrect: "Because of the addition rule, the probability that the top card is the jack of clubs or the bottom card is the jack of hearts is 2/52." Point out the flaw in this argument.

Explanation / Answer

1.

a. Check the "AND". The probability should have been =P(jack of clubs )*P( jack of hearts) = 1/52 *1/52 = 1/52^2

The answer of 1/52 + 1/52 is for OR and not AND

Addition rule doesn't work incase of AND, multiplication does

b.Same as part a)