Question

A child is asked to pick up 2 balloons from a box containing 10 blue and 15 red balloons. What is the probability of the child picking, at random, 2 bal- loons of different colours?

Answer 1

So the child picked up 2 balloons out of total 25 red and blue balloons.
The probability of getting a blue balloon is 1/10 and the probability of getting a red balloon is 1/15.
and the probability of picking at random to get two balloons of different colours is 1/25
Hope this helps you...

Answer 2

Answer:

The probability of the child picking 2 balloons of different colors , at randomly will be equal to 1/2.

Step-by-step explanation:

Total number of balloons in the box = 10 + 15 = 25

Probability that 1st balloon is blue  $=\frac{10}{25}=\frac{2}{5}$

Now, 24 balloons are in the box,

Probability of that second balloon is red $=\frac{15}{24}$

Probability that first balloon is blue and second red =$=\frac{2}{5} *\frac{15}{24}=\frac{3}{12}$

Probability that 1st balloon is red  $=\frac{15}{25}=\frac{3}{5}$

Now, 24 balloons are in the box,

Probability of that second balloon is  blue $=\frac{10}{24}=\frac{5}{12}$

Probability that first balloon is red and second blue $=\frac{3}{5} *\frac{5}{12}=\frac{1}{4}$

Total probability = $=\frac{3}{12} +\frac{1}{4}=\frac{1}{2}$

Therefore, the probability of picking balloons of two different colors is 1/2.