Two of the most popular options on a certain type of new car are automatic transmission and built-in GPS. Suppose that 90% of all buyers request automatic transmission, 82% of all buyers request built-in GPS, and 77% of all buyers request both automatic transmission and built-in GPS. Hint: It may be useful to draw Venn diagrams for these. What is the probability that the next person to purchase this car will request at least one of automatic transmission or built-in GPS

0.95 = 95% probability that the next person to purchase this car will request at least one of automatic transmission or built-in GPS

Step-by-step explanation:

We solve this question treating these probabilities as Venn sets.

I am going to say that:

Event A: Requesting automatic transmission

Event B: Requesting built-in GPS

90% of all buyers request automatic transmission

This means that

82% of all buyers request built-in GPS

This means that

77% of all buyers request both automatic transmission and built-in GPS.

This means that

What is the probability that the next person to purchase this car will request at least one of automatic transmission or built-in GPS

This is , which is given by:

So

0.95 = 95% probability that the next person to purchase this car will request at least one of automatic transmission or built-in GPS

b

step-by-step explanation:

the total is 23.97. 0.25% is off so you have to subtracting 25% from 100% and you will get 75% if you convert it to decimal you will get 0.75. you have to find the original because the formula is % times original = total.so you have the total and the % so you just have to plug it in.