USING PROBABILITY TO MAKE FAIR DECISIONS 1st Period

Quiz
•
Mathematics
•
11th - 12th Grade
•
Medium
+2
Standards-aligned
SHELA BRAZEALE
Used 51+ times
FREE Resource
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Brett and Sofia are playing with playing cards. They decide to shuffle a deck of playing cards. After a shuffle they choose a single card. If that card is of an Ace or a King they win 2 points. If that card is of a Jack or a Queen they win 3 points. If that card is of any other number, they lose 1 point. Is this game fair?
Fair
Not fair
Tags
CCSS.HSS.MD.B.6
CCSS.HSS.MD.B.7
2.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Eliza and Alisha are the two baseball captains. They roll a die and decide that if the die lands with an even number, Eliza’s team will bat first. Otherwise Alisha’s team will bat first. Is this method fair?
Fair
Not fair
Tags
CCSS.HSS.MD.B.6
CCSS.HSS.MD.B.7
3.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Smith and his cousins are rolling dice. They decide that if they roll a 1 or 2 then they will win 3 points. If the number is 3 or 4 then they win 4 points. If they roll a 5 or 6 they win 5 points. Is this game fair?
Fair
Not fair
Tags
CCSS.HSS.MD.B.6
CCSS.HSS.MD.B.7
4.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Maria and Mary are playing with dice. They roll one die. If the die lands on the number 2 then they win 7 candies. If the die lands on the number 5 then they win one candy. If the die lands on any other number, they lose 2 candies. Is this game fair?
Fair
Not fair
Tags
CCSS.HSS.MD.B.6
CCSS.HSS.MD.B.7
5.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Given the probability model in the table below, what is the expected value of the random variable?
X: 500, 200, 50;
P(X): 0.3, 0.3, 0.4
140
14
7.5
230
Tags
CCSS.HSS.MD.A.2
6.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Suppose there’s a game where the player rolls a die, and either wins or loses money according to these rules.
Dice Roll: 1, 2, 3 Outcome: Lose $5.00
Dice Roll: 4 or 5 Outcome: Lose $1.00
Dice Roll: 6 Outcome: Win $10.00
Is this a fair game, and why?
Fair, Expected Value = $1.67
Not fair, Expected Vlaue = -$1.67
Fair, Expected Value = 0
Not Fair, Expected Value = 0
Tags
CCSS.HSS.MD.B.5B
7.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
In a game you flip a coin twice, and record the number of heads that occur. You get 10 points for 2 heads, zero points for 1 head, and 5 points for no heads. What is the expected value for the number of points you’ll win per turn?
-3.75
1
0
3.75
Tags
CCSS.HSS.MD.B.5A
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