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 = $\frac{Number \ of \ particular \ chips}{total \ number \ of \ chips}$

Probability ( back drawn) = $\frac{10}{25}}$

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

Probability ( red drawn) = $\frac{5}{25}}$

Probability (black, then red) =  $\frac{10}{25}}$ *  $\frac{5}{25}}$

=  $\frac{50}{625}}$=  $\frac{2}{25}}$