Question

You roll a die. If it comes up a 2 or 4, you win $300. If not, you get to roll again. If you get a 2 or 4 the second time, you win $30. If not, you lose. a) Create a probability model for the amount you win. b) Find the expected amount you'll win. c) What should you be willing to pay to play this game? a) Amount won $0 $30 $300 P(Amount won) (Type integers or simplified fractions.)

Name: you roll a die if it comes up a 2 or 4 you win 300 if not you get to roll again if you get a 2 or 4 the second time you win 30 if not you lose a create a probability model for the amount you 73942
Uploaded: 2022-11-09T13:31:16-08:00
Duration: 1 min 48 s
Channel: Kari Hasz
Description: you roll a die if it comes up a 2 or 4 you win 300 if not you get to roll again if you get a 2 or 4 the second time you win 30 if not you lose a create a probability model for the amount you 73942

          You roll a die. If it comes up a 2 or 4, you win $300. If not, you get to roll again. If you get a 2 or 4 the second time, you win $30. If not, you lose.
a) Create a probability model for the amount you win.
b) Find the expected amount you'll win.
c) What should you be willing to pay to play this game?
a) Amount won
$0
$30
$300
P(Amount won)
(Type integers or simplified fractions.)

you roll a die if it comes up a 2 or 4 you win 300 if not you get to roll again if you get a 2 or 4 the second time you win 30 if not you lose a create a probability model for the amount you 73942

Added by Anna C.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Kari Hasz

11/09/2022

Step 1

The probability of not rolling a 2 or 4 is $1 - \frac{1}{3} = \frac{2}{3}$. Show more…

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You roll a die. If it comes up a 2 or 4, you win $300. If not, you get to roll again. If you get a 2 or 4 the second time, you win $30. If not, you lose. a) Create a probability model for the amount you win. b) Find the expected amount you'll win. c) What should you be willing to pay to play this game? a) Amount won $0 $30 $300 P(Amount won) (Type integers or simplified fractions.)