Algebra 1
Probability 4
Name: _____________________
Date: ________ Period: _______
1. A coin and a regular tetrahedron (a die with only four sides marked 1, 2, 3, 4) are
tossed.
 Draw a tree diagram for the situation.
 List the sample space.
 Find the probability of each of the following:
o P(head and 2).
o P(tail and a perfect square)
2. Three coins are tossed at the same time.
 Draw a tree diagram showing all the outcomes.
 List the sample space of the outcomes.
 Find the probability of the following:
o P(all three are heads)
o P(one head and two tails)
o P(at least two heads)
3. Bill and Ted are playing rock, paper, scissors to decide who must speak first in their
history presentation.
 Draw a tree diagram showing all the outcomes.
 List the sample space of the outcomes.
 Find the probability of the following:
o P(Bill wins)
o P(Bill wins or ties)
o P(there is not a tie)
4. Mr. Murphy takes his class to a fast food outlet that offers menu listed below. He lets
each person select one main dish, one drink and one dessert.
Menu:
Main dish: Hamburger or a cheeseburger
Drink: Coke or shake
Dessert: Ice cream, pie, or a cookie.
 Draw a tree diagram of all the menu options.
 List the sample space for the menu.
 Find the following probabilities:
o P(meal contains a burger)
o P(meal contains a shake and ice cream)
o P(meal contains cheeseburger and pie)
5. If it is equally likely that a child be born and boy or girl, find the following
probabilities for a family of 4.
a. P(all four are girls)
b. P(two boys and two girls)
c. P(at least 3 boys)
6. A baseball player has a batting average of .300.
a. What is the probability that the player had a hit each time he comes to bat?
b. What is the probability that the player misses the next time he comes to bat?
c. If he comes to bat four times in the next game, what is the probability that he
has four hits?
d. What is the probability that he has four misses?
7. A weather report gives the chance of rain on Saturday as 80% and on Sunday as an
80%
o What is the probability there will be rain both days?
o What is the probability that it will be dry both days?
8. A multiple-choice test had 4 questions. Each question has 5 responses (a, b, c, d, e).
Only one answer is correct for each question. If all questions are attempted by guessing,
what is the probability of getting all four correct?
9. A bag contains 3 red marbles and 5 green marbles. Find the probability of drawing:
a. 2 green marbles in a row, if the first is replaced before the second is chosen.
b. 2 green marbles in a row, if the first is not replaced.
c. 2 red marbles in a row, if the first is replaced before the second is chosen.
d. 2 red marbles in a row, if the first is not replaced.