1. You have applied for two scholarships: the TRIO Opportunity Grant (TOG) and the Vermont Opportunity in Education (VEOP) scholarship. From data collected over the years, the probability that you receive the VEOP scholarship is 0.25, the probability that you receive both scholarships is 0.15, and the probability that you get at least one of these scholarships is 0.37. a. What is the probability that you receive the TOG

0.27 = 27% probability that you receive the TOG scolarship.

Step-by-step explanation:

I am going to solve this question treating these probabilities as Venn probabilities.

I am going to say that:

Event A: TOG scolarship

Event B: VEOP scolarship

The probability that you receive the VEOP scholarship is 0.25

This means that

Probability that you receive both scholarships is 0.15

This means that

The probability that you get at least one of these scholarships is 0.37.

This means that

What is the probability that you receive the TOG?

This is P(A). These measures are related by:

So

Replacing with the values in this question

0.27 = 27% probability that you receive the TOG scolarship.

the best buy, is the 4- kilogram bag of lollipops for $18.40.

step-by-step explanation:

i found my answer by dividing the cost of each bag by their respective weights.

14.88 divided by 2 = 7.44

17.29 divided by 3 = 5.77

18.4 divided by 4 = 4.6

24.4 divided by 5 = 4.88

by this, i found that the 4 kilo bag is the best buy.