Mrs. Jones has a box that contains 1 yellow, 2 brown, 4 orange, and 3 purple disks. A disk is selected without looking and not replaced. Then a second disk is selected. What is the probability of selecting a yellow disk then a purple disk?
10 disks total
p(yellow) = 1/10
now 9 disks
p(purple) = 3/9=1/3
product = 1/10 * 1/3 = 1/30
Thanks for the help!!
You are welcome.
To find the probability of selecting a yellow disk first and then a purple disk, we need to determine the total number of possible outcomes and the number of favorable outcomes.
Total number of outcomes: Since we are selecting two disks without replacement, there will be a total of (1+2+4+3) = 10 disks to choose from initially. After selecting one disk, there will be (10-1) = 9 remaining disks.
Number of favorable outcomes: We want to select a yellow disk first, so there is only 1 yellow disk initially. After selecting the yellow disk, we want to select a purple disk, which there are 3 of.
Now we can calculate the probability using the following formula:
Probability = (Number of favorable outcomes) / (Total number of outcomes)
Number of favorable outcomes: 1 yellow disk * 3 purple disks = 3
Total number of outcomes: 10 disks initially * 9 disks remaining = 90
Therefore, the probability of selecting a yellow disk first and then a purple disk is 3/90, which simplifies to 1/30.