James rolls a number cube, with sides labeled 1 through 6, two times. What is the probability James will roll an even number the
1 answer:
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Answer:
<em>59</em>
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Step-by-step explanation:
If a number is divided by and leaves a remainder
, then the number
will be completely divisible by
.
Therefore, when we say a number , when divided by 6, it leaves a remainder 5, then (
) will be a multiple of 6.
When we say a number , when divided by 5, it leaves a remainder 4, then (
) will be a multiple of 5.
When we say a number , when divided by 4, it leaves a remainder 3, then (
) will be a multiple of 4.
When we say a number , when divided by 3, it leaves a remainder 2, then (
) will be a multiple of 3.
So, is a common multiple of 3, 4, 5 and 6.
Taking LCM of 3, 4, 5 and 6, we get 60.
So, the number 60 - 1 = <em>59</em> is the least such number.