Michael wants to take French or Spanish, or both. But classes are closed, and he must apply and get accepted to be allowed to enroll in a language class. He has a 50% chance of being admitted to French, a 50% chance of being admitted to Spanish, and a 20% chance of being admitted to both French and Spanish. If he applies to both French and Spanish, the probability that he will be enrolled in either French or Spanish (or possibly both) is

80%.

Step-by-step explanation:

Given the following probabilities:

In Probability Theory, when we have BOTH , we mean the intersection of the probabilities. Therefore:

We want to determine the probability that he will be enrolled in either French or Spanish (or possibly both).

Probability of either A OR B =

From Probability Theory:

The probability that he will be enrolled in either French or Spanish (or possibly both) is 80%.

goog may be able to you find that answer

a 4/6 = 9/12   not proportional

step-by-step explanation:

to find which are not proportional, we can use cross products

if it is true, they are proportional.   if it is not true, they are not proportional.

a 4/6 = 9/12

4* 12 = 6*9

48 = 54

not this is not proportional  

b 2/3 = 12/18  

2* 18 = 3 * 12

36 = 36

this is proportional

c 5/4 = 10/8  

5*8 = 4*10

40 = 40

this is proportional

d 7/5 = 35/25

7*25 = 5 * 35

175 = 175

is proportional