Download QUIZ 4-Independent and Conditional

Name_____________________________
Quiz 4A- Independent and Conditional Probability
Date _________________
PMI Algebra-Geometry II
1) Label each event as dependent or independent:
a) Your friend picks a red car to rent for the
weekend. It is the only red car that is available for
rent.
b) “The Price is Accurate” game show is having you
pull numbers from 1 to 10 out of a bag one at a time
without replacing them. You need to get the 7 to win.
2) Decide if the events are mutually exclusive or overlapping and then find P(AUB)
a) A = Rolling a 2 on a regular six-sided die
B = Rolling an odd number on a regular six-sided die
b) A = Drawing a red card from a regular deck of cards
B = Drawing an even numbered card from a regular deck of cards.
3) Find the conditional probability for the following situations:
a) After conducting a survey of people from
Colorado, they found that 63% enjoy camping. They
also found that 49% like to both camp and fish. Find
the probability that a person likes to fish, given that
they like to camp.
4) Use the formula
𝑃(𝐵 |𝐴)
𝑃(𝐴)
b) Find the probability that a person can snowboard,
given that they can ski.
= 𝑃(𝐵) to mathematically decide if the events are independent.
a) This Venn Diagram represents a survey from a
local high school that compared how well a person
did on the ACT vs. if they went on to college.
Algebra II – Statistics and Probability
b) The probability that someone owns a dog is 73%.
The probability that someone owns a cat is 52%.
The probability that someone owns both a dog and a
cat is 37%.
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