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3 years ago

A card is drawn from a standard deck of cards. Find P(diamond) given that the card drawn is black.

Mathematics

1 answer:

Mice21 [21]3 years ago

6 0

Answer:

Step-by-step explanation:

In a standard card deck, you have a total of 52 cards. Half of the card (26 cards) is black color, and a quarter(13 cards) of the card is diamond. Out of 26 black color cards, 13 of them spades and the other 13 is club. There is 0 diamond card out of 26 black color cards.

Then, the probability of diamond card if the card drawn black will be: 0/13= 0%

It is impossible to draw a diamond card since all diamond is red color.

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How many ways are there to choose a soccer team consisting of 3 forwards, 4 midfield players, and 3 defensive players, if the pl

klio [65]

Using the combination formula, it is found that there are 47,040 ways to form a soccer team.

<h3>What is the combination formula?</h3>

Each of the different groups or selections can be formed by taking some or all of a number of objects, irrespective of their arrangments is called a combination.

$^mC_k = \dfrac{m!}{k! \times (m-k)!}$

A soccer team consisting of 3 forwards, 4 midfield players, and 3 defensive players, if the players are chosen from 8 forwards, 6 midfield players and 8 defensive players

Since they are independent of each other, the total number of combinations will be;

$^mC_k = \dfrac{8!}{3! \times (5)!} \times \dfrac{6!}{4! \times (2)!} \times \dfrac{8!}{3! \times (5)!} \\\\^mC_k =47,040$

Hence, There are 47,040 ways to form a soccer team.

More can be learned about the combination at brainly.com/question/25821700

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2 years ago

At the local fast food restaurant, the number of fries sold in one day was six less than three times the number of burgers. If t

LenaWriter [7]

X = burger number. 3x-6 = fries sold
3x-6 = 120 solve for x

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3 years ago

Which athletes, if any, would qualify for the finals if the length of a jump that qualifies for the finals were at least 20 feet

saul85 [17]

Answer:

Amir and ryan would qualifiey

Step-by-step explanation:

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2 years ago

8 workers complete the construction of wall 6 days. How many workers are needed to complete the construction in 4 days?

ElenaW [278]

Answer:

I came up with -12

Step-by-step explanation:

8 workers = 6 days to complete

x workers = 4 days faster to complete

6/4=1.5 days faster

1.5 x 8 = 12 workers needed to complete the wall in fours days

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2 years ago

If a box has a length of 12 inches, a width of 10 inches and a height of 6 inches, what is the volume?

Roman55 [17]

720

(12inches x 10inches x 6inches)

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2 years ago

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