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LuckyWell [14K]
2 years ago
11

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

irst card is replaced before the second card is drawn.
Mathematics
1 answer:
ohaa [14]2 years ago
8 0

Answer:

With replacing

Assuming 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:

p = \frac{4}{52} *\frac{4}{52}= 0.0059

Without replacing

Assuming 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:

p = \frac{4}{52} *\frac{3}{51}= 0.0045

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 replacing

Assuming 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:

p = \frac{4}{52} *\frac{4}{52}= 0.0059

Without replacing

Assuming 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:

p = \frac{4}{52} *\frac{3}{51}= 0.0045

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Answer:

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