1. A six-sided die is weighted so that all even numbers have an equal chance of...

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

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 have an equal chance of coming up when the die is rolled, all odd numbers have an equal chance of coming up, and each odd number is eight times as likely to come up as each even number. This die is rolled 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 lowest terms.

3.A gumball machine contains 45 gumballs. Some are purple and the rest are yellow. There are 4 times as many purple gumballs as yellow. Because the purple gumballs are slightly smaller than the yellow, each purple gumball is 3 times as likely to be dispensed as each yellow gumball.
An experiment consists of the machine dispensing one gumball. Let each 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 is dispensed?
Enter your answers as whole numbers or fractions in lowest terms.

Solutions

Expert Solution

Colby Messinger answered 1 year ago

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