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Rasek [7]
3 years ago
8

Marco draws a card and replaces it 10 times from a standard deck of 52 cards. He draws 8 red cards and 2 black cards. What is th

e theoretical probability that he will draw a red card on his 11th draw?
Mathematics
2 answers:
Effectus [21]3 years ago
7 0

Answer:

The probability would be 1/2 that he would draw a red color card.

Step-by-step explanation:

Marco draws a card from a standard deck of 52 cards and replace it 10 times. each time Marco draws 'with replacement' so it does not matter what cards were drawn previously so each draw result was independent.

In a standard deck of 52 cards there are 26 red cards.

p (drawing a red card on his 11th draw) = 26/52 = 1/2

therefore on his 11th draw 1/2 probability that he would draw a red color card

Andreas93 [3]3 years ago
3 0
4/5 chance is the answer to that
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A 250-gal tank is initially filled with brine (salt-water mixture) containing 100 lb of salt. Brine containing 3 lb of salt per
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Answer:

x(t) = 581.66 lb

Step-by-step explanation:

From the given information:

Consider the salt quantity in the tank at time t be x(t) lb.

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where:

the rate of inflow = salt conc. × flow rate = 3 lb/gallon × 7 gallons

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rate of outflow = salt conc. in the tank  × flow rate

= x/250 ×  9

= 9x/250  lb/s

∴

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This is a 1st order linear differentiation,

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∴

e^{^{ \dfrac{9t }{250}}} \ \ x(t) = \int 21 e^{\dfrac{9t}{250}} \ dt + C

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