Mathematics, 07.03.2020 04:12 arturo698839

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 replaced before the second card is drawn.

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Answer from: confi3353

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

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

Without replacing

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

Answer from: Quest

i believe your answer is 99.7% of 7-year-old children are between 46.6 inches and 49.5 inches tall.

Answer from: Quest

all three statements are true

step-by-step explanation:

a shipping fee of 5% is charged online with every item purchased online

first let's just take each option and calculate them based on this, to see if the answers matched

keith buys a 40 dollar book

40 x 0.05 = 2

therefore there will be a two dollar fee on keith's book

40 + 2 =42

the first statement is true

a chair costs $80

80 x 0.05 = 4

80 + 4 = 84

the second statement is true

george buys a 20 dollar calculator

20 x 0.05 = 1

20 + 1 = 21

the third statements are true

all three statements are true

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

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