Instructions
Answer the following questions related to probability. Show your work where applicable.
1. Basic Probability
If you roll a six-sided die, what is the probability of rolling:
a) A 3:
b) An even number:
c) A number greater than 4:
2. Probability with Cards
In a standard deck of 52 playing cards:
a) What is the probability of drawing an Ace?
b) What is the probability of drawing a Heart?
c) What is the probability of drawing a King or a Queen?
3. Conditional Probability
A bag contains 3 red balls and 5 green balls. If you randomly pick a ball, what is the probability that it is green given that the ball picked is not red?
4. Complementary Events
If the probability of it raining tomorrow is 0.7, what is the probability that it will not rain tomorrow?
5. Real-life Application
In a class of 30 students, 12 of them are girls. What is the probability that a randomly selected student is a girl? Show your calculations:
6. Word Problems
A bag contains 8 blue marbles, 6 red marbles, and 1 yellow marble. If you randomly choose one marble, what is the probability of getting:
a) A blue marble:
b) A red marble:
c) A yellow marble:
7. Bonus Challenge
Two dice are rolled. What is the probability that the total is 7? Show your work: