In a jar of ten beads, seven are red and three are blue. A bead is drawn from the jar five times with replacement. What is the probability of seeing exactly 2 blue beads?
Question 15 options:
9%
30.87%
3.87%
100%
None of these are correct.
To calculate the probability of seeing exactly 2 blue beads, we need to consider the possible outcomes for each draw and their corresponding probabilities.
The probability of drawing a blue bead is 3/10, and the probability of drawing a red bead is 7/10.
To calculate the probability of a specific outcome, we multiply the probabilities of each individual draw.
In this case, we are calculating the probability of seeing exactly 2 blue beads in 5 draws, so we need to consider the different ways this can occur.
There are 5C2 ways to choose 2 positions out of 5 for the blue beads to appear. The remaining 3 positions will have red beads.
Therefore, the probability of seeing exactly 2 blue beads in 5 draws is:
(3/10)^2 * (7/10)^3 * 5C2
= (9/100) * (343/1000) * 10
= 3.87%
The correct option is 3.87%.