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 $\dfrac{2}{5}$.

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:

$P(Red)=\dfrac{\text{Number of red candies}}{\text{Total candies}}$

$\dfrac{2}{5}=\dfrac{n}{25}$

$\dfrac{2}{5}\times 25=n$

$10=n$

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:

$P(Red)=\dfrac{5}{20}$

$P(Red)=\dfrac{1}{4}$

Therefore, the required probability is $\dfrac{1}{4}$.