The probability that the contestant wins at least one car is 3/5.
<h3>What is the probability?</h3>
Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
For 1 car, we consider two possible outcomes:
P(1 car) = 2/6 x 4/5 + 4/6 x 2/5
P(1 car) = 8/15
For no car in either door
P(no car) = 4/6 x 3/5
P(no car) = 2/5
The probability that the contestant wins at least one car is the sum of the probability of one car and the probability of two cars:
P(2 cars) = 2/6 x 1/5
= 1/15
P(1 car) + P(2 cars) = 8/15 + 1/15
= 3/5
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Answer:
P(algebra, then statistics) = 7/80
Step-by-step explanation:
The total number of books is 7 + 8 + 5 = 20.
1. P(algebra, then statistics)
The probability that the first book is an algebra book is 7/20.
Carlos then replaces the book, so the total is still 20.
The probability that the second book is a statistics book is 5/20.
Therefore, the total probability is:
P(algebra, then statistics) = 7/20 × 5/20
P(algebra, then statistics) = 7/80
Answer:
45 in²
Step-by-step explanation:
Since it's a 45-45-90 triangle, the legs are equal length. The legs are the sides that are not the hypotenuse. The hypotenuse is the side opposite the 90° angle. Here, the legs are both 6. This is also the height of the parallelogram.
The formula for area of a parallelogram is
A = LH where L is the side length, and H is the height
So the area is
A = 7.5(6) = 45 in²
