Question 12 (1 point) Given P(A) 0.34, P(A and B) 0.27, P(A or B) 0.44, what is P(B)? Answer in decimal form. Round to 2 decimal
1 answer:
Answer: The required probability of event B is P(B) = 0.37.
Step-by-step explanation: For two events A and B, we are given the following probabilities :
P(A) = 0.34, P(A ∩ B) = 0.27 and P(A ∪ B) = 0.44.
We are to find the probability of event B, P(B) = ?
From the laws of probability, we have
Thus, the required probability of event B is P(B) = 0.37.
You might be interested in
The exact measure of the angle is 45°.
<h3>How to get the angle?</h3>
We know that the terminal side passes through a point of the form (√2/2, y).
Notice that the point is on the unit circle, so its module must be equal to 1, so we can write:
We know that y is positive because the point is on the first quadrant.
Now, we know that our point is:
(√2/2, 1/√2)
And we can rewrite:
√2/2 = 1/√2
So the point is:
( 1/√2, 1/√2)
Finally, remember that a point (x, y), the angle that represents it is given by:
θ = Atan(y/x).
Then in this case, we have:
θ = Atan(1/√2/1/√2) = Atan(1) = 45°
If you want to learn more about angles, you can read: