Answer:
5/46
Step-by-step explanation:
So we need to find the probability of selecting a custard-filled donut followed by a jelly-filled donut.
We will first calculate the probability of selecting a custard-filled donut:
- 24 donuts in total.
- 15 are custard-filled.
- So, the probability of selecting a custard-filled donut first is 15/24, which simplifies to 5/8.
Then we will calculate the probability of selecting a jelly-filled donut, after a custard-filled donut has been eaten:
- After eating one custard-filled donut, there are 23 donuts left.
- Out of these 23, 4 are jelly-filled.
- So, the probability of selecting a jelly-filled donut second is 4/23.
Now we will multiply the two probabilities:
- The combined probability of selecting a custard-filled donut first and then a jelly-filled donut is:
(5/8) * (4/23) = 20/184.
And lastly, we will simplify the fraction:
- 20/184 simplifies to 5/46.
Therefore, the probability of selecting a custard-filled donut followed by a jelly-filled donut is 5/46.