Using Probability to Make Decisions

High School Math Practice

 





This quiz illustrates the range of difficulty expected by the following Common Core State (CCS) standards:

QuestionCommon Core Standard #
1S.MD.2 +
2S.MD.2 +
3S.MD.3 +
4S.MD.3 +
5S.MD.4 +
6S.MD.5b +
indicates a modeling standard.
+ indicates a college and career ready standard.

All questions of this quiz illustrate the difficulty of the high school S.MD standards required for all students, including the college and career ready students.



Question 1: The probabilities of the numbers of goals scored by team A during the soccer games of a competition, were estimated in the table below:

Number of goalsProbability
00.4
10.25
20.15
30.1
40.1
> 50


If X = the number of goals scored by team A during a soccer game of the competition, calculate the expected value of X.












Question 2: An automatic lottery ticket dispenser is used to sell tickets priced at $2 each. The table below shows the likelihood that a random customer buys a certain number of tickets.

Number of ticketsProbability
10.4
20.2
30.15
40.15
50.1
60.1


If X = the number of tickets purchased by a random customer, calculate the expected value of X.











Question 3: Which of the following tables give the probability of obtaining exactly x heads in four coin throws?


x01234
P(x)0.06250.250.3750.250.0625

x01234
P(x)0.10.20.40.20.1

x01234
P(x)0.050.150.60.150.05

x01234
P(x)0.080.260.30.260.08



Question 4: Suppose you take a multiple choice test with 6 questions, and each question has 4 answers. What is the probability of getting 5 correct answers if you guess randomly on all questions?










Question 5: The probabilities for the numbers of children per family of a US city were estimated in the table below:

Number of childrenProbability
None0.25
10.15
20.4
30.15
40.03
50.02


How many children would you expect to find in 100 randomly selected families of this city?










Question 6: Three instant lottery games have the winnings and probabilities given in the tables below:

Game A:
Prize$0$1$2$10$100$500
Probability0.70.190.10.00970.00020.0001


Game B:
Prize$0$1$10$50$500$5,000
Probability0.90.090.008890.00090.00020.00001


Game C:
Prize$0$1$5$10$200$1,000
Probability0.70.190.10.00970.00020.0001


What of the games returns more money to the lottery players?








Press the Submit button to see the results.