Math 120, Assignment Three Probability Worksheet With Answers Page 4
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1
2
3
4
5four decimal places.)
0.7063
10.
0/2 pointsxJModd6 3.4.11. [1384106]
The 5/39 lottery is currently played in California, Georgia, New York, Pennsylvania, and Texas.
(a) Find the probability of winning first prize. (Enter your answer as a fraction.)
1/575757
(b) Find the probability of winning second prize. (Enter your answer as a fraction.)
170/575757
11.
0/5 pointsJModd6 3.4.14. [739690]
In the game of keno, if six spots are marked, the player wins if four or more of his or her spots are selected. Complete the chart. (Round the
answers to eight decimal places.)
Outcome
Probability
6 winning spots
0.00012898
5 winning spots
0.00309564
4 winning spots
0.02853792
3 winning spots
0.12981955
fewer than 3 winning spots
0.83841791
12.
0/1 pointsJModd6 3.4.21combo. [739685]
You order twelve burritos to go from a Mexican restaurant, five with hot peppers and seven without. However, the restaurant forgot to label
them. If you pick three burritos at random, find the probability that
exactly two have hot
peppers. (Round the answer to three decimal
places.)
0.318
13.
0/3 pointsJModd6 3.5.02combo. [739633]
(a) Find expected value of each $1 bet in roulette, for the five-number bet. (Round the answer to three decimal places.)
EV = $
-0.079
(b) Use the Law of Large Numbers to interpret the expected value.
You should expect to
about
cents for every dollar you bet, if you play a long time.
lose
7.9
14.
0/1 pointsJModd6 3.5.14. [739664]
On the basis of his sale records, a salesman knows that his weekly commissions have the following probabilities. Find the salesman's
expected commission.
$
1800.00
Commission
0
$1000 $2000 $3000 $4000
Probability
0.15
0.2
0.45
0.1
0.1
15.
0/2 pointsJModd6 3.5.20. [739686]
You are on a TV show. You have been asked to either play a dice game five times or accept a $50 bill. The dice game works like this.
If you roll a 1, 2 or 3, you win $48.
If you roll a 4 or 5, you lose $21.
If you roll a 6, you lose $87.
Should you play the game? Use expected values and decision theory to justify your answer. (Round the answer to the nearest cent.)
Yes
No
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