Question

STAT 14_3:

Ronit has a box with beads. The beads are opaque or transparent and available in several colors.
The probability of a random bead being red is 0.3. The probability of a bead being transparent is 0.6.
Of the red beads - the probability of a random bead being transparent is 0.5.

a. Remove 8 beads from the box at random and upon return. What is the probability that exactly two of them will be red?

b. Take beads out of the box accidentally and on return until you first remove a transparent bead
i. What is the probability of getting more than 4 beads?
ii. The first two beads taken out were not transparent. What is the probability of getting 7 beads out of the box?

c. Remove 10 beads from the box at random and upon return. What is the probability that exactly three of them will be red and transparent, two opaque and red and 5 transparent and red?

Answer 1

for the part c , i think there was some typo in the question

. Maybe the repeat red and transparent category was not correct in the question.. in that case the indices of p1 and p3 will change.