SOLUTION: Two unbiased dice are thrown once and the total score is observe. Find de probabiity that: a) The total score is even or greater than 7 b) The total score is divisible by 3 and g

Algebra ->  Probability-and-statistics -> SOLUTION: Two unbiased dice are thrown once and the total score is observe. Find de probabiity that: a) The total score is even or greater than 7 b) The total score is divisible by 3 and g      Log On


   

Question 369919: Two unbiased dice are thrown once and the total score is observe. Find de probabiity that:
a) The total score is even or greater than 7
b) The total score is divisible by 3 and greater than 7
Thank You!! I appreciate it
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
There are 36 possible outcomes.
The totals are distributed like this,
2,1%2F36
3,2%2F36
4,3%2F36
5,4%2F36
6,5%2F36
7,6%2F36
8,5%2F36
9,4%2F36
10,3%2F36
11,2%2F36
12,1%2F36
.
.
a)P%28even%29=1%2F2
P%28T%3E7%29=%285%2B4%2B3%2B2%2B1%29%2F36=15%2F36
Subtract those that are even and greater than 7 so you don't double count.
P%28Double%29=%285%2B3%2B1%29%2F36=9%2F36
P=1%2F2%2B15%2F36-9%2F36=%2818%2B15-9%29%2F36=24%2F36=2%2F3
.
.
.
b)Greater than 7 and divisible by 3 would only include 9 and 12.
P=P%289%29%2BP%2812%29=%284%2B1%29%2F36=5%2F36