## Two cards are drawn at random from an ordinary deck of 52 cards. Determine the probability that both cards are jacks if a. the first card is

Question

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## Answers ( )

Answer:With replacingAssuming replacing for the first selection we have a total of 52 cards and 4 possible options and for the second selection since we put again the card again in the deck we have the same probability of selection for a jack. We can assume independence between the events and we got:

Without replacingAssuming replacing for the first selection we have a total of 52 cards and 4 possible options and for the second selection since we don’t put again the card again in the deck so we will have 3 possible options and 51 total cards. We can assume independence between the events and we got:

Step-by-step explanation:For this case we assume that we have a standard deck of 52 cards

And we have 4 Jacks on the deck

With replacingAssuming replacing for the first selection we have a total of 52 cards and 4 possible options and for the second selection since we put again the card again in the deck we have the same probability of selection for a jack. We can assume independence between the events and we got:

Without replacingAssuming replacing for the first selection we have a total of 52 cards and 4 possible options and for the second selection since we don’t put again the card again in the deck so we will have 3 possible options and 51 total cards. We can assume independence between the events and we got: