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

`(5)/(14)`

to get a white one is

`(2)/(14)=(1)/(7)`

and blue one is

`(7)/(14)=(1)/(2)`

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

`(5)/(14)\cdot(1)/(2)=(5)/(28)`

and if we want a white and then a red one

`(1)/(7)\cdot(5)/(14)=(5)/(98)`