1. A six-sided die is weighted so that all even numbers have anequal chance of coming up when the die is rolled, all odd numbershave an equal chance of coming up, and each even number is threetimes as likely to come up as each odd number. This die is rolledonce.

What is the probability of rolling a 3?

What is the probability of rolling a 6?

What is the probability of rolling an even number?

2. An eight-sided die is weighted so that all even numbers havean equal chance of coming up when the die is rolled, all oddnumbers have an equal chance of coming up, and each odd number iseight times as likely to come up as each even number. This die isrolled once.

What is the probability of rolling the number 5?
What is the probability of rolling the number 4?
What is the probability of rolling a number greater than 5?
Enter each answer as a whole number or a fraction in lowestterms.

3.A gumball machine contains 45 gumballs. Some are purple andthe rest are yellow. There are 4 times as many purple gumballs asyellow. Because the purple gumballs are slightly smaller than theyellow, each purple gumball is 3 times as likely to be dispensed aseach yellow gumball.
An experiment consists of the machine dispensing one gumball. Leteach gumball be considered one outcome.

What weight should be assigned to each purple gumball?
What is the probability of the event that a yellow gumball isdispensed?
Enter your answers as whole numbers or fractions in lowestterms.