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White raven [17]
3 years ago
13

a packe of cards conatins 4 red and 5 black cards. a hand of 5 cards is drawn without replacment. What is the proablity of all f

ive black. of exactly three black?
Mathematics
1 answer:
Vladimir79 [104]3 years ago
5 0

Answer: Our required probability is 0.3387.

Step-by-step explanation:

Since we have given that

Number of red cards = 4

Number of black cards = 5

Number of cards drawn = 5

We need to find the probability of getting exactly three black cards.

Probability of getting a black card = \dfrac{5}{9}

Probability of getting a red card = \dfrac{4}{9}

So, using "Binomial distribution", let X be the number of black cards:

P(X=3)=^5C_3(\dfrac{5}{9})^3(\dfrac{4}{9})^2\\\\P(X=3)=0.3387

Hence, our required probability is 0.3387.

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Answer:

8×10^21

Step-by-step explanation:

3 0
3 years ago
Which statement explains why the value of [2.4] is 2 but the value of [-2.4] is –3?
GenaCL600 [577]
For any x in Real numbers, [x] is the greatest possible integer smaller than x, or equal to x if x is an integer.

According to this,

<span>[2.4] is the greatest integer , smaller than or equal to (so non greater) 2.4. This number is 2

similarly,  </span>[-2.4] is the greatest integer , smaller than or equal to (so non greater) -2.4. This number is -3.


Answer: 

A) <span>Because 2 is the greatest integer not greater than 2.4 and –3 is the greatest integer not greater than –2.4. </span>
3 0
3 years ago
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What is the equation of the line that passes through the points four over 5 , and one over five and then one half , and three ov
Scorpion4ik [409]
Your answer is y = -(13/3)x + 11/3. I have put the brackets to show that the entire fraction is negative, they do not do anything else.
First we need to find the slope of the line using the equation (y2 - y1)/(x2 - x1), so we get (3/2 - 1/5)/(1/2 - 4/5). To make this easier, I did each subtraction separately:
3/2 - 1/5 = 15/10 - 2/10 = 13/10
1/2 - 4/5 = 5/10 - 8/10 = -(3/10)
And then we need to divide 13/10 by -(3/10), so:
13/10 ÷ -(3/10) = 13/10 × -(10/3) = -(130/30) = -(13/3), which is our slope.
Then, we can write the equation y = -(13/3)x + c, and substitute in coordinates:
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So the final equation is y = -(13/3)x + 11/3.
I hope this helps!
3 0
3 years ago
If the scale factor between two similar solids is 2:5, then the ratio of their lateral areas is 4:10
Lena [83]
No.
The ratio of the areas is the ratio of the squares of the scale factor.
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7 0
3 years ago
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o-na [289]

Answer: True

Step-by-step explanation:

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Also, the ratio of any side of a triangle and the hypotenuse is always less than 1.

3 0
3 years ago
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