What is the probability that when a fair coin is flipped 25 times, there will be exactly five heads
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<h2>See the explanation.</h2>Step-by-step explanation:
The coin is to be flipped 2000 times.
The probability of getting a head is 0.3.
It is given that, we need to get a head in between 575 and 618 times.
If we will get 575 heads then we will get (2000 - 575) tails.
Hence, if we take that we want to get n times head, then we will get (2000 - n) times tail.
The probability of not getting a head is (1 - 0.3) = 0.7.
The probability of getting n times head is .
The required probability is ∑ , where
.
Rectangle 2 is the image of rectangle 1 after it rotates 90 degrees clockwise.
<h3>How to determine the degree of rotation?</h3>The given parameters are:
<u>Rectangle 1</u>
(1, -2), (4,-2), (4,-3) and (1, -3)
<u>Rectangle 2</u>
(-3, -1), (-2,-1), (-2, -4,) and (-3, -4)
By comparing the coordinates, we can see that the rule of transformation is:
(x,y) ⇒ (y,-x)
The above rule represents a 90° clockwise rotation
Hence, rectangle 2 is the image of rectangle 1 after it rotates 90 degrees clockwise.
Read more about rotation at:
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