Question

Rachel plays a game by rolling two number cubes with side's numbered 1 through 6. To win the game, the sum of the numbers facing up must be 11. What is the probability that Rachel will win the game

Answer 1

Answer:

The probability that Rachel will win the game p(E) = 1/18 =0.055

Step-by-step explanation:

Explanation:-

Let "E" be the event of getting sum 11 on the two cubes with sides numbered through 1 to 6 so the number of favorable cases to E = { (6,5), (5,6)}

n(E) =2

The total number of exhaustive cases n(s) = 6^2 =36

Probability P(E) = $\frac{number of favorable cases}{total number of exhaustive cases.}$

The probability that Rachel will win the game  

$P(E) = \frac{2}{36} = \frac{1}{18} =0.055$

The probability that Rachel will loose the game

$P(E)^{-} = 1-P(E)$

            = 1 - 0.055 = 0.945