Answer:
6/15 * 2/14 = 12/210
Explanation:
This is compound probability. To calculate compound probability, you need to multiply the probabilities of each event happening together.
In this example, the events are selecting a pineapple cake, then a strawberry cake.
Let's find the probabilities!
There are 2 strawberry cakes, 6 pineapple cakes, and 7 chocolate cakes. This means that he has 15 cakes in total.
Therefore, the probability of selecting a pineapple cake is 6/15.
Now, if we assume that he has selected a pineapple cake already, there are now 14 cakes.
Next, the probability of selecting a strawberry cake is now 2/14. This is because he already took a pineapple cake, and now he has to pick a strawberry cake out of the remaining 14 cakes.
Multiply these two probabilities to find the compound probability: 12/210 ( this could be further simplified, but that's how they give it to you! )
Hope this helps! Please feel free to contact me if you have any further questions :)