Answer:
the odds of both events happening is 1 in 8 or 0.125.
Explanation:
here are the step-by-step calculations to find the odds of both events happening:
The probability of the first event happening is 50%, which can be written as a decimal as 0.5.
The probability of the second event happening is 25%, which can be written as a decimal as 0.25.
To find the probability of both events happening, we multiply these probabilities together:
P(both) = P(first) x P(second)
= 0.5 x 0.25
= 0.125
We can also express this probability as odds by dividing the probability of both events happening by the probability of just one event happening (in this case, either the first or second event happening). The probability of one event happening is 0.5 + 0.25 = 0.75, since these events are mutually exclusive (only one of them can happen at a time). So the odds of both events happening is:
P(both) / P(one) = 0.125 / 0.75
= 1/8
Therefore, the odds of both events happening is 1 in 8 or 0.125.