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Elden [556K]
3 years ago
15

You are on a game show and you are given the choice of three doors. Behind one door is a car (the main prize). Behind each of th

e other two doors is a goat (you lose). You pick a door and the host (who knows what's behind the doors) opens another door which has a goat behind it. The host asks you if you want to stay with your original choice or to switch to the other unopened door. Is it better to stay or switch doors? Which choice has a higher probability of winning or does it not matter?
Mathematics
1 answer:
makvit [3.9K]3 years ago
4 0

Answer:

You need to switch doors.

Switching the door has higher probability of winning.

Step-by-step explanation:

Consider the provided information.

Suppose there are 3 doors, A, B and C

Behind one door is a car that means the probability of getting a car is 1/3

Suppose you select door A

The probability that the it has a goat is 2/3. That means it is very likely to be a goat behind door A.

The other two door(B and C) are more likely to contain a goat and car.

The host opens another door which has a goat behind it. Let say he open the door B.

Now there is more chance to be a car behind it as compare to the previous choice.

Thus, you need to switch doors.

Switching the doors will gives you 2 in 3 chance of winning while staying with same door will gives you 1 in 3 chance of winning.

Switching the door has higher probability of winning.

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What is the slope of the line that passes through the points
yulyashka [42]

Answer:

A

Step-by-step explanation:

Hope this helped! Please tell me if I'm wrong!

5 0
3 years ago
This is a question from IXL. I need help! ASAP thanks
Nina [5.8K]

The image of triangle CDE after a rotation of 90º counterclockwise around the origin is graphed at the end of the answer.

<h3>What is a rotation?</h3>

When a polygon undergoes a rotation, this rotation is over an angle measure, that defines the coordinate rule for each vertex of the polygon.

For triangle CDE, the vertices are given as follows:

D(-7,-1), C(-7,-7), E(-4,-8).

The rule for a rotation of 90º counterclockwise around the origin, for each vertex (x,y) of the polygon, is given by:

(x,y) -> (-y,x).

Hence, applying the rule above, the vertices of the image of triangle CDE will be given as follows:

D'(1,-7), C'(7,-7), E'(8,-4).

The triangle, with these vertices labeled, is graphed at the end of the answer.

More can be learned about rotations at brainly.com/question/28794840

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8 0
1 year ago
How does the experimental probability of choosing a yellow tile compare with the theoretical probability of choosing a yellow ti
Evgen [1.6K]

Answer:

The experimental probability is the same as the theoretical probability.

Step-by-step explanation:

The given data is:

color            observed frequency               relative frequency

Red                            15                                          3/10

Blue                           12                                          6/25

Green                         8                                           4/25

Yellow                        10                                          1/5

Purple                         5                                           1/10

The experiment was repeated 50 numbers of times.

Solution:

Theoretical probability is basically what is expected to happen without experimenting and experimental probability is what actually happens as a   results of an experiment.

Theoretical probability =  favorable outcomes / all possible outcomes

Experimental probability = no. of times outcome occurs / no. of times

                                                                                      experiment is performed The experimental probability  and theoretical probability are same i.e. 1/5

This can be seen from the table:

Experimental probability = 1/5

As the experiment is performed 50 times and the outcome (yellow tile) occurs 10 times so using the formula of experimental probability:

10/50 = 1/5

Now as given, there are 5 number of tiles (red,blue,green,yellow,purple) so number of possible outcomes is 5. Yellow tile among these 5 tiles is 1. So the favorable outcomes is 1. So looking at the given formula of theoretical probability:

1/5

So

experimental probability = 1/5

theoretical probability = 1/5

Hence the experimental probability is the same as the theoretical probability.

4 0
3 years ago
A rocket travels in a trajectory given by the equation s = -4.9t 2 + v0t, where s is meters above ground, t is time in seconds a
Reptile [31]

Step-by-step explanation:

s = -4.9t² + 49t

The vertex of the parabola is at t = -b/(2a).

t = -49 / (2 × -4.9)

t = 5

The rocket reaches its maximum height after 5 seconds.

5 0
3 years ago
Solve 5X30 draw a picture
emmasim [6.3K]
150 is your correct answer 
3 0
3 years ago
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