Probability Test Part 2

Zach was observed over a period of time and the results are shown in the Venn diagram below. If a day was selected at random, which of the following would be the probability of Zach not shaving given that he slept less than 5 hours?

• .41

• .47

• .65

• .82

The set of data in the table below shows the results of a survey on the number of messages that people of different ages text on their cell phones each month. If a person from this survey is selected at random, what is the probability that the person texts 11-50 messages per month given that the person is between the ages of 19 and 22? (Hint: Find totals first!)

•  $\frac{25}{118}$  

•  $\frac{25}{456}$  

•  $\frac{25}{229}$  

•  $\frac{109}{229}$  

What is the probability that the person picked will be a boy given they speak german? 

• .7273
• .4
• .16
• .22

Tags

CCSS.7.SP.C.5

CCSS.7.SP.C.7

CCSS.7.SP.C.6

CCSS.7.SP.C.8

What is the probability that a female is chose given they like a Toyota? 

• .525
• .4627
• .6774
• .3143

Tags

CCSS.7.SP.C.5

CCSS.7.SP.C.7

CCSS.7.SP.A.1

CCSS.7.SP.A.2

Sue will randomly select from a treat bag containing 6 lollipops and 4 gum balls. Sue will select a treat, not replace it, and then select a second treat. Is this an example of an independent or dependent event?

• Independent

• Dependent

If two events, A and B, are independent then which of the following is always true about their probabilities?

• $P\left(A\cup B\right)=P\left(A\right)\cdot P\left(B\right)$

• $P\left(A\cap B\right)=P\left(A\right)\cdot P\left(B\right)$

• $P\left(A\right)=P\left(B\ given\ A\right)$

• $P\left(A\cap B\right)=P\left(A\right)+P\left(B\right)$

Sean's team has a baseball game tomorrow. He pitches 50% of the games. There is a 40% chance of rain during the game tomorrow. If the probability that it rains given that Sean pitches is 40%, it can be concluded that these two events are

• Dependent

• Independent

• Mutually Exclusive

• Complements

The two-way frequency table gives data about 200 randomly selected apartments in a city. Use the table to answer the question. Find the probability that they live in a one bedroom given that they are a single occupant. Also indicate whether or not the events are independent.

• 71%, independent

• 84%, independent

• 71%, dependent

• 84%, dependent

Given events A and B, such that  $P\left(A\right)=0.4$ ,  $P\left(B\right)=0.2$  and  $P\left(A\cap B\right)=0.08$  determine whether A and B are independent or dependent.     

• Independent

• Dependent

A student wants to know if right-handed people are more or less likely to play a musical instrument than left-handed people. The study collects data from 250 people, as shown in the two-way table. What is the probability that a person is right handed given then play a musical instrument? Are these independent or dependent events?

• .88, dependent

• .18, dependent

• .88, independent

• .18, independent