An experiment consists of rolling two fair number cubes. What is the probability that the sum of the two numbers will be >3
1 answer:
Answer:
<u>Step-by-step explanation:</u>
greater than 3 means the sum is either 4, 5, or 6.
There are 15 permutations that meet the criteria:
(1, 3), (1, 4), (1, 5), (1,6)
(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)
There are 6²= 36 total permutations for 2 dice.
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Answer:
8 years
Step-by-step explanation:
Let age of father be f
age of John be j
age of Alice be a
John's father is 5 times as old as John. We can write:
f = 5j
John is twice as old as Alice. We can write:
j = 2a
or
a = j/2
SUM OF ALL OF THEIR AGES (after 2 years) will be 58. We can write:
f+2 + j+2 + a+2 = 58
This becomes:
f + j + a + 6 = 58
f + j + a = 52
Now, we replace third equation with the first two (in bold) and get:
So John is 8 years old