Question

There are 4 red and 6 green marbles in a jar. What is the probability of drawing two green marbles, with replacement?

2/5

9/25

3/5

4/25

SELECT EACH CORRECT ANSWER

Answer 1

The probability of drawing two green marbles, with replacement is
`(9)/(25)`

Solution:

Given that There are 4 red and 6 green marbles in a jar

To find: probability of drawing two green marbles, with replacement

The probability of an event is given as:

`\text {probability }=\frac{\text { number of favourable outcomes }}{\text { total number of possible outcomes }}`

Here total number of possible outcomes = 4 red + 6 green marbles = 10

Favourable outcome is drawing two green marbles with replacement

So favourable outcome = 6

So probabilty of choosing green marble:

`probability = (6)/(10) = (3)/(5)`

Now given that with replacement, so we get

`\text { probability }=(3)/(5) * (3)/(5)=(9)/(25)`

Thus probability is
`(9)/(25)`