Probability with Tree Diagrams - Practice

Quiz
•
Mathematics
•
9th - 12th Grade
•
Medium
Andrea Cassidy
Used 1+ times
FREE Resource
25 questions
Show all answers
1.
LABELLING QUESTION
5 mins • 6 pts
A pitcher on Ashton's little league baseball team can throw 2 types of pitches: a fastball and a knuckleball.
70% of his pitches are fastballs.
60% of his fastballs are strikes.
20% of his knuckleballs are strikes.
Complete the tree diagram by labeling the branches with the correct probabilities.
Answer explanation
Remember, each set of branches must add to 1.
2.
MATH RESPONSE QUESTION
5 mins • 1 pt
Whenever Sean has a quiz tomorrow, there is an 80% chance that he will review the night before.
Past results have shown that when Sean reviews, he passes 90% of the time. If he doesn't review, then he only passes 25% of the time.
Sean had a quiz yesterday.
What is the probability he reviewed and passed?
Mathematical Equivalence
ON
Answer explanation
Remember: to find the probability of one outcome at the end of a tree diagram, you MULTIPLY all the probabilities along the path to that outcome.
3.
MATH RESPONSE QUESTION
5 mins • 1 pt
Whenever Sean has a quiz tomorrow, there is an 80% chance that he will review the night before.
Past results have shown that when Sean reviews, he passes 90% of the time. If he doesn't review, then he only passes 25% of the time.
Sean had a quiz yesterday.
What is the probability he passed but didn't review?
Mathematical Equivalence
ON
Answer explanation
Remember: to find the probability of one outcome at the end of a tree diagram, you MULTIPLY all the probabilities along the path to that outcome.
4.
MATH RESPONSE QUESTION
5 mins • 1 pt
Whenever Sean has a quiz tomorrow, there is an 80% chance that he will review the night before.
Past results have shown that when Sean reviews, he passes 90% of the time. If he doesn't review, then he only passes 25% of the time.
Sean had a quiz yesterday.
What is the probability he failed the quiz?
Mathematical Equivalence
ON
Answer explanation
Remember: the outcomes at the end of the tree are all mutually exclusive. So, the simple addition rule for probability applies.
P(A or B) = P(A) + P(B)
5.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
At Bob’s Burger Shop, you can order a burger with your choice of fries or salad and a soda or juice. The diagram below show the orders taken of one day.
Of the order with fries, what is the probability that they would have juice?
75/500 = 3/20
25/500 = 1/20
25/150 = 1/6
75/350 = 3/14
6.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
At Bob’s Burger Shop, you can order a burger with your choice of fries or salad and a soda or juice. The diagram below show the orders taken of one day.
Of the order with a salad, what is the probability that they would have juice?
75/500 = 3/20
25/500 = 1/20
25/150 = 1/6
75/350 = 3/14
7.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
At Bob’s Burger Shop, you can order a burger with your choice of fries or salad and a soda or juice. The diagram below show the orders taken of one day.
What is the probability of ordering fries?
350/500 = 70%
500/350 = 142%
350/150 = 233%
75/350 = 21%
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