I'm stumped on this question, would appreciate some help please.

Ms. Babalola has a bag that contains 4 white beads, 6 red beads, 5 yellow beads, and 5 blue beads. One head is selected and not replaced. Then a second bead is selected and replaced. Then a third head is selected. Determine the probability of selecting a blue bead, then a white bead, then a yellow bead.

pr(blue, white,yel)=5/20*4/19*5/18

Greatly appreciated

To determine the probability of selecting a blue bead, then a white bead, then a yellow bead, we need to first calculate the probability of each individual event and then multiply the probabilities together.

Step 1: Calculate the probability of selecting a blue bead.
The total number of beads in the bag is 4 white + 6 red + 5 yellow + 5 blue = 20 beads.
The probability of selecting a blue bead is the number of blue beads divided by the total number of beads:
Probability of selecting a blue bead = 5 blue beads / 20 beads = 1/4.

Step 2: Calculate the probability of selecting a white bead.
After selecting the blue bead, the total number of beads in the bag is reduced to 19 (since one bead was selected). But since we replace the second bead, the total number of beads remains at 20.
The probability of selecting a white bead is the number of white beads divided by the total number of beads:
Probability of selecting a white bead = 4 white beads / 20 beads = 1/5.

Step 3: Calculate the probability of selecting a yellow bead.
After selecting the white bead, the total number of beads in the bag is reduced to 18 (since two beads were selected and replaced).
The probability of selecting a yellow bead is the number of yellow beads divided by the total number of beads:
Probability of selecting a yellow bead = 5 yellow beads / 20 beads = 1/4.

Step 4: Multiply the probabilities together.
To find the overall probability, we multiply the probabilities of each individual event:
Overall probability = Probability of selecting a blue bead * Probability of selecting a white bead * Probability of selecting a yellow bead
Overall probability = (1/4) * (1/5) * (1/4)
Overall probability = 1/80

Therefore, the probability of selecting a blue bead, then a white bead, then a yellow bead is 1/80.