Question

1) A bag contains 10 beads - 2 black, 3 white, and 5 red. A bead is selected at random. Select a white bead, not replace it, and then select a red bead. what are the probabilities

Answer 1

The problem has to events, selecting a white bead, and selecting a red bead, without replacement, which means the total number of outcomes changes by one.

`P=(3)/(10)*(5)/(9)`

Observe how the number of beads changes to 9 because the first selected is not being replaced.

`P=(3*5)/(10*9)=(15)/(90)=(1)/(6)`

Hence, the probability is 1/6.