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Sonbull [250]
3 years ago
9

How many 5 card hands contain exactly 2 queens

Mathematics
1 answer:
iris [78.8K]3 years ago
5 0

There are 4 queens in the deck, hence (4 choose 2) = 4!/(2! (4-2)!) = 6 ways of getting 2 queens.

The other 3 cards in the deck can be any of the remaining 48 non-queens; there are (48 choose 3) = 48!/(3! (48-3)!) = 17,296 ways of getting these.

In total, there are (4 choose 2)*(48 choose 3) = 103,776 total possible hands.

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The manager of a grocery store reports that there is a 12 percent chance that a customer buys apples during a shopping trip, a 5
Ivanshal [37]

Answer:

The probability of a customer buying carrots is 0.10.

Step-by-step explanation:

Here, given:

P (Customer buying apples) = 12%  

⇒   P(A) = 12 \100 = 0.12

P(Customer Buying apples AND Carrots) = 5%  

   ⇒   P(A ∩ C ) = 5 /100 = 0.05

P(Customer buying apples OR carrots ) = 17%    

⇒   P(A∪ C) = 17/100 =   0.17

Now, we know that:

<h3> P(X ∪ Y) = P(X) + P(Y) -  P(X ∩ Y ) </h3><h3></h3>

Now, here substituting the values, we get:

P(A∪ C)  = P(A) + P(C) - P(A ∩ C )

⇒  0. 17  =  0.12 + P(C) -  0.05

or, 0.17 - 0.07 = P(C)

or, P(C) = 0.10

or, P(Customer Buying Carrots) = 0.10

Hence, the probability of a customer buying carrots is 0.10.

4 0
3 years ago
Solve <br> 4x+6&lt;-6<br><br> I could really use the help
aleksandr82 [10.1K]

Answer:

x < -3

Step-by-step explanation:

First subtract 6 from both sides of the inequality.

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drek231 [11]
\frac{70}{196} =  \frac{10}{28} = \frac{5}{14}
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Step-by-step explanation:

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6 0
2 years ago
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Answer:

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Step-by-step explanation:

6 0
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