Dice Probability (5 Sided Dice and 6 Sided Dice)

mr.happy12

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Mar 4, 2015
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hi im stuck on a question and was wondering if anyone could help me out (show a working solution/steps) to the problem.

here's the question.

Las Vegas Casino has introduced a new gambling game. A five-faced die A has numbers 1, 2, 2, 2
and 5 on its faces. This die and a normal die B (i.e. one with the numbers 1 to 6 on its six faces) are
rolled together. Which of the following choices offers you the highest chance of winning?


a. Rolling a 2 with A and either a 2 or 4 with B? = My answer: 3/5 x 2/6 = 1/5


b. Rolling a 1 with A and any number other than a 1 with B? My answer: 1/5 x 5/6 = 1/6


c. Rolling two numbers on A and B such that their total is 7? This is the one im stuck on!


In each case, if you win, what is the probability that you rolled a 2 with die B? Also, this one too!

Thanking you in advance!
:D
 
Las Vegas Casino has introduced a new gambling game. A five-faced die A has numbers 1, 2, 2, 2, and 5 on its faces. This die and a normal die B (i.e. one with the numbers 1 to 6 on its six faces) are rolled together. Which of the following choices offers you the highest chance of winning?

a. Rolling a 2 with A and either a 2 or 4 with B? = My answer: 3/5 x 2/6 = 1/5

b. Rolling a 1 with A and any number other than a 1 with B? My answer: 1/5 x 5/6 = 1/6

c. Rolling two numbers on A and B such that their total is 7? This is the one im stuck on!
In how many ways can you get a sum of 7? If A rolls 1, can you get a 7 with any outcome of B? If so, what? How many options is this? In how many ways can you get a 2 on A? If you get a 2 on A, can you get a 7 with any outcome of B? If so, what? How many options is this? And so forth.

In each case, if you win, what is the probability that you rolled a 2 with die B? Also, this one too!
If you won, from what list of outcomes must your result have come? In that listing, how many outcomes had a 2 on B? ;)
 
hi im stuck on a question and was wondering if anyone could help me out (show a working solution/steps) to the problem.

here's the question.

Las Vegas Casino has introduced a new gambling game. A five-faced die A has numbers 1, 2, 2, 2
and 5 on its faces. This die and a normal die B (i.e. one with the numbers 1 to 6 on its six faces) are
rolled together. Which of the following choices offers you the highest chance of winning?


a. Rolling a 2 with A and either a 2 or 4 with B? = My answer: 3/5 x 2/6 = 1/5


b. Rolling a 1 with A and any number other than a 1 with B? My answer: 1/5 x 5/6 = 1/6


c. Rolling two numbers on A and B such that their total is 7? This is the one im stuck on!


In each case, if you win, what is the probability that you rolled a 2 with die B? Also, this one too!

Thanking you in advance!
:D
Out of curiosity how do you win?
 
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