Answer:
The probability that she wins is [tex]\frac{1}{36}[/tex]
Step-by-step explanation:
Given : Alana tosses 2 number cubes. She wins if she rolls double sixes.
To find : Probability that Ming wins?
Solution :
When two dice rolled once the outcome will be,
(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)
(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)
(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)
(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)
(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)
(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)
Now,
[tex]\text{Probability}=\frac{\text{Favorable outcome}}{\text{Total number of outcome}}[/tex]
Favorable outcome of getting double sixes is (6,6) i.e, 1
Total number of outcome = 36
[tex]\text{Probability(Ming wins)}=\frac{1}{36}[/tex]
Therefore, The probability that she wins is [tex]\frac{1}{36}[/tex]
