A standard deck of cards has 52 members consisting of 4 suits each with 13 members (2, 3, …, 10, j, q, k, a). five cards are dealt from the randomly mixed deck. what is the probability that all cards are the same suit

Answers

Answer 1

Answer:

The probability that all cards are the same suit is 33/16660 if the standard deck of cards has 52 members consisting of 4 suits each with 13 members (2, 3, …, 10, j, q, k, a).

What is probability?

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

It is given that:

A standard deck of cards has 52 members consisting of 4 suits each with 13 members (2, 3, …, 10, j, q, k, a)

Five cards are dealt from the randomly mixed deck.

P(5 cards are from same deck) = 4(13/52)(12/51)(11/50)(10/49)(9/48)

P(5 cards are from same deck) = 33/16660

Thus, the probability that all cards are the same suit is 33/16660 if the standard deck of cards has 52 members consisting of 4 suits each with 13 members (2, 3, …, 10, j, q, k, a).

Learn more about the probability here:

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Answer 2

Answer: P(5 cards are from same deck) = 4(13/52)(12/51)(11/50)(10/49)(9/48) = 33/16660

Answer: 33/16660

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Ted weighs twice as much as Julie. Mike weighs three times as much as Julie. Together, Ted, Mike, and Julie weigh 210 lbs. What is the weight of each person?

Answers

x-weigh of Ted
y-weigh of Julie
z-weigh of Mike

x=2y
z=3y
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As noted in an earlier chapter, Mars Inc. says that until very recently yellow candies made up 20% of its milk chocolate M&M’s, red another 20%, and orange, blue, and green 10% each. The rest are brown. On his way home from work the day he was writing these exercises, one of the authors bought a bag of plain M&M’s. He got 29 yellow ones, 23 red, 12 orange, 14 blue, 8 green, and 20 brown. Is this sample consistent with the company’s stated proportions? Test an appropriate hypothesis and state your conclusio

Answers

Answer:

there is no consistency with the company's stated proportions

Step-by-step explanation:

yellow 20 %

red 20 %

orange, blue and green 10 %

brown 50 %

From the authors purchase

yellow = 29

red = 23

orange = 12

blue = 14

green = 8

brown = 20

the total of all the purchase = $106$

taking the probability of each will help us know the percentage

probability = required outcome / possible outcome

P(Yellow) = $(29)/(106) \n\n=0.27\n\n</p><p>= 27 %</p><p>P(Red) = [tex](23)/(106) \n\n=0.21\n\n$

= 21 %

P(Orange, blue and green) = $(34)/(106) \n\n=0.32$

= 32 %

P(Brown) = $(20)/(106) \n\n= 0.18$

= 18 %

from the question, we have that

i am going to tabulate the two outcomes together

the companies stated outcome the outcome from our calculations

Yellow 20 % versus Yellow 27 %

Red 20 % versus Red 21 %

Orange, Blue and Green 10 % versus Orange, Blue and Green 32 %

Brown 50 % versus Brown 18 %

we can see from the above that there is no consistency with the company's stated proportion.

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Answers

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