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ollegr [7]
3 years ago
7

Imagine that you're on a game show, and you're given the choice of a mystery prize behind one of three doors: Behind one door is

a car; behind the other two doors are goats. You pick a door, say No. 1, and the host, who knows what's behind the doors, opens another door, say No. 3, which has a goat. He then says to you, "Do you want to stick with door No. 1 or switch to door No. 2?" What do you do? Would you stick with your original pick or switch? Would either choice give you a better chance to winning the car?
Mathematics
1 answer:
NNADVOKAT [17]3 years ago
5 0

Answer:

Switching would be better.

Step-by-step explanation:

If you pick a door at random, you have a 33.33% chance to get the car, and a 66.67% chance that the car is in the other two doors, 33.33% in the other two doors. (Let's pick door 1 for this example)

Saying that door 2 has a goat means that door 2 has a 0% chance of having a car. Where did that 33.33% go to? It went to door 3. Hence, door 3 now has a 66.67% chance of having a car.

Therefore, you should swap.

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10. Create a scenario to explain why 3P3=3!.
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Step-by-step explanation:

Permutation :The number of ways to choose a sample of r elements from a set of n distinct objects where order does matter and replacements are not allowed.

                                  nPr = \frac{n!}{(n-r)!}

Factorial : There are n! ways of arranging n distinct objects into an ordered sequence.  

Considering a situation when n = r in a permutation, nPr reduces to n!, a simple factorial of n.

Proof: 3P3 = 3!

n = 3 and r = 3

                                   3P3 = \frac{3!}{(3-3)!}

                                   3P3 = \frac{3!}{(0)!}

But 0! = 1

                                    3P3 = 3!

3 0
3 years ago
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The coordinates of the image of line segment RT are R’(-2, -4) and T’(4, 4). The image was produced by a dilation with a scale f
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Answer:

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Step-by-step explanation:

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3 years ago
Can't figure this question out!!! Giving Brainliest!!!
Andrej [43]

Answer:

x = -8

^

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That is the correct answer

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Look at the sample space below.
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Answer:

There are 10 odd numbers: {1, 3, 5, 7, 9, 11, 13, 15, 17, 19} There are 4 factors of 8: {1, 2, 4, 8} There is 1 number in both lists: {1} Probability of an odd or a factor of 8 = (10 + 4 - 1)/20 = 13/20

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f(x) = 9x - 7

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f( - 1) =  - 9 - 7

f( - 1) =  - 16

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