Question

Given a bag of 5 blue, 3 green, and 8 red marbles.. What is the probability of picking a blue

Answer 1

$b = 5, \: g = 3, \: r = 8$

$total = 5 + 3 + 8 = 16$

$p(b) = \frac{5}{16}$

$p(g |without \: replacement|) = \frac{3}{16 - 1} = \frac{3}{15} = \frac{1}{5}$

$p(b \: and \: g) = \frac{5}{16} \times \frac{1}{5} = \frac{1}{16}$