Which is greater, the probability of choosing a number divisible by 6 or the probability of not choosing a number divisible by 8?
*numbers 1-50*
Hello, soccerchic96!
It's kind of simple, isn't it?
We have 50 numbers to choose from.Which is greater, the probability of choosing a number divisible by 6
or the probability of not choosing a number divisible by 8?
(numbers 1-50)
How many are divisible by 6?
. . Eight of them: 6, 12, 18, 24, 39, 36, 42, 48
. . Hence: .$\displaystyle P(\text{div. by 6}) \:=\:\frac{8}{50}$
How many are divisible by 8?
. . Six of them: 8, 16, 24, 32, 40, 48
So there are forty-four which are not divisible by 8.
. . Hence: .$\displaystyle P(\text{not div. by 8}) \:=\:\frac{44}{50}$
Now which is greater?