Question

In a bag, there are 10 black plastic chips, 7 yellow, 5 red, and 3 green. Two chips are drawn at random with replacement. Find P(black, then red).

Answer 1

In a bag, there are 10 black plastic chips, 7 yellow, 5 red, and 3 green.

Total number of chips = 10+ 7 + 5 + 3 = 25

Probability =
`(Number \ of \ particular \ chips)/(total \ number \  of \ chips)`

Probability ( back drawn) =
`(10)/(25)}`

Two chips are drawn at random with replacement.. So black is replaced

Probability ( red drawn) =
`(5)/(25)}`

Probability (black, then red) =
`(10)/(25)}` *
`(5)/(25)}`

=
`(50)/(625)}`=
`(2)/(25)}`