# Basic Probability, Interest, and Set Theory

Listed are some of the questions answered:

Two fair dice are rolled. What is the probability that a sum of 6 or 11 is obtained?

Find the simple interest. Assume a 360-day year. Round results to the nearest cent.

A die is rolled twice. Write the indicated event in set notation:

Both rolls are even

Find the indicated probability:

A single card is drawn from a standard 52-card deck. Find the probability the card is a heart given that it is red.

Find the amount that should be invested now to accumulate the following amount, if the money is compounded as indicated:

$ 2600 at 6% compounded annually for 10 yr.

Find the lump sum deposited today that will yield the same total amount as this yearly payment (made at the end of each year for 20 years at the given interest rate, compounded annually:

$ 750 at 3%

Write the sample space for the given experiment:

A day of the week is selected at random

Find the simple interest. Assume a 360-day year. Round results to the nearest cent:

$ 4414 at 10% for 5 months

Find the compound amount for the deposit. Round to the nearest cent:

$ 2000 at 4% compounded annually for 20 years

Find the indicated term of the geometric sequence:

a = 4, r = 2; Find the 15th term.

Determine whether the given events are mutually exclusive:

Knowing Spanish and knowing Chinese

Shade the Venn diagram to represent the set

#### Solution Summary

Included are solutions to basic probability questions which include sample space and resulting probabilities. Probability solutions range from rolls of a dice to selecting cards from a deck. Other problems included are about compounding interest, set unions and intersections, and mutually exclusive events.