Question

The probability of drawing a red candy at random from a bag of 25 candies is 2/5. After 5 candies are removed from tehe bag, what is the probability of randomly drawing a red candy from the bag?

Answer 1

Given:

The probability of drawing a red candy at random from a bag of 25 candies is
`(2)/(5)`.

To find:

The probability of randomly drawing a red candy from the bag after removing 5 candies from the bag.

Solution:

Let n be the number of red candies in the bag. Then, the probability of getting a red candy is:

`P(Red)=\frac{\text{Number of red candies}}{\text{Total candies}}`

`(2)/(5)=(n)/(25)`

`(2)/(5)* 25=n`

`10=n`

After removing the 5 candies from the bag, the number of remaining candies is
`25-5=20` and the number of remaining red candies is
`10-5=5`.

Now, the probability of randomly drawing a red candy from the bag is:

`P(Red)=(5)/(20)`

`P(Red)=(1)/(4)`

Therefore, the required probability is
`(1)/(4)`.