Question

Write probability in a fraction

Answer 1

`P (even,\ then\ not\ 2) = (5)/(12)`

Explanation:

When launching a numerical cube there are 6 possible results

S = {1, 2, 3, 4, 5, 6}

Among these possible outcomes only 3 are even numbers

S = {2, 4, 6}

So the probability of obtaining an even number is

`P = (3)/(6)\\\\P = (1)/(2)`

Then, the probability of obtaining a number other than 2 is:

`P = (5)/(6)`.

If 2 launches are made then the events are independent,

Thus:

P(even, then not 2) is

`P (even,\ then\ not\ 2) = (1)/(2) * (5)/(6)\\\\P (even,\ then\ not\ 2) = (5)/(12)`