So basically your doing unit rates? Well guess what, I'm studying about that also, and I have a little understanding about unit rates, have you done ratios before?
Answer:

Step-by-step explanation:
We want to simplify

Recall that,

So weneed to write one base and add the exponents,

We collect LCM in the exponent to get,

We simplify to obtain,

The correct answer is A.
Hey there!
This is an example of conditional probability, or P(A | B). Let's say that the probability of a child eating cake is event A, and the probability of them eating cookies is event B.
Conditional probability (A, given that B has occurred) can be represented and found by the following equation:
P(A | B) = P(A ∩ <span>B)/P(B)
</span>P(A ∩ B) is the probability of a child eating both cake and a cookie. This is also the middle of the venn diagram you were given. P(B) is simply the probability of event B happening, which, as we established, is eating a cookie. <span>
</span>P(A | B) = P(A ∩ B) / P(B)
P(A | B) = 0.1 / 0.5
P(A | B) = 0.2
There will be a 0.2, or 20%, chance that a child will eat cake, given that they've eaten a cookie.
Sorry for the late response, but I hope this still helped you out!