2 dice are rolled find the probability of getting a 5 on any die or the sum of both dice is 5?
Answers:
There are 4 out of 36 combo's that make 5, that's 1/9.
Either die get a 5? 1-(5/6)*(5/6).
About 30%, give or take.
Step 1: Just write out all the possibilities:
1, 1
1, 2
1, 3
1, 4
1, 5
1, 6
2, 1
...etc.
Then count how many fives you see and how heaps combos that add up to 5. Divide that by the total number of possibilities
There are six combinations where the first die is a 5, six combinations where the second die is a 5, and one combination where on earth both are a 5. Hence the number of combinations where one die is a 5 = 6+6-1=11.
There are four combinations where the sum of both dice is 5. (1&4, 2&3, 3&2, 4&1)
That make the total number of combinations meeting the criteria = 11 + 4 = 15.
The total number of combinations possible with two dice = 6x6 = 36.
That make the probability 15 / 36 = 41.67%
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