Question

Bella has 7 green beads, 10 yellow beads and 3 white beads in a pouch. two beads are drawn without replacement from the pouch. what is the probability that both of the beads are yellow? write your answer as a fraction.

Answer 1

Total number of beads 7+10+3=20. We are looking at the combination of 20 events. Applying the probability formula
`p= (m)/(n)`, the total number of possible outcomes is
`C _(20)^(2)` and the possible outcomes is
`C_(10) ^(2)`. Then, the probability is
`p= (C_(10) ^(2) )/(C_(20) ^(2) ) = (9)/(38) = 0.236842`