Question

Ajar contains 5 red marbles, 2 white marbles, and 7 blue marbles. You choose two marbles fromthe jar with replacement. What is the probability that: Enter your answer as a reduced fraction.(a) You draw a red marble and then a blue marble?Your answer is:(b) You draw a white marble and then a red marble?Your answer is:

Answer 1

the possible outcomes are : red, white and blue. The total amount of marbles are 14.

The probability to get a red marble is

$\frac{5}{14}$

to get a white one is

$\frac{2}{14}=\frac{1}{7}$

and blue one is

$\frac{7}{14}=\frac{1}{2}$

if we draw a red and then a blue one we get

$\frac{5}{14}\cdot\frac{1}{2}=\frac{5}{28}$

and if we want a white and then a red one

$\frac{1}{7}\cdot\frac{5}{14}=\frac{5}{98}$