Given that there are 8 red beads, 6 yellow beads, and 6 green beads in the containder.
So total number of beads = 8+6+6=20
They want to pick only green or red bead so favorable number of beads = 8+6= 14
probability of any event is given by formula
Probability= [favorable number of outcomes]/[Total number of outcomes]
So the probability of getting green or red bead in first draw = 14/20
After each draw the drawn bead is replaced means put back into container.
In that case number of beads will be same as it was in the beginning.
So the probability of getting green or red bead in second draw = 14/20
This process repeats 60 times so the required probability
[tex] =\frac{14}{20}*\frac{14}{20}*\frac{14}{20}*...*\frac{14}{20} [/tex] (60 times repeatition)
[tex] =(\frac{14}{20})^{60} [/tex]
So the final answer is [tex] (\frac{14}{20})^{60} [/tex] .
