Question

A child is asked to pick up 2 balloons from a box containing 15 blue and 5 red balloons. What is the probability of the child picking, at random, 2 balloons of different colours?

Answer 1

Step-by-step explanation:

Given :

no. of blue balloons = 15

no. of red balloons = 5

total no. of balloons = 20

To find :

probability of child picking

Solution :

We know that,

$probability \: = \: \frac{favorable \: outcomes}{total \: outcomes}$

So probability of picking blue balloon is

$\frac{15}{20} \: = \frac{3}{4}$

And probability of picking red is

$\frac{5}{20} \: = \frac{1}{4}$

Hope it helps you....

Answer 2

Answer:

The Probability is =   $\frac{15}{38}$

Step-by-step explanation:

Given :

• Box contains Blue Balloons = 15
• No of Red Balloons in the Box = 5
• The Boy is asked to pickup two balloons.

To find :

• Probability of picking 3 balloons of different colors.

Solutions :

Number of ways of picking

2  balloons from total 20 balloons = $20_C__2$

                                                     = $\frac{20!}{2! \cdot (20-2)!}$

                                                     = $\frac{20 \text{x} 19}{2}$

                                                     = 190

No of ways of picking 1 blue balloon from 15 blue balloons with 1 red balloon from 5 red balloons = ${15__C__1 }$ X $5__C__1$

                                               = 15 x 5

                                               = 75

The probability of  picking 2 balloons of different colors.

                                               = $\frac{75}{190} = \frac{15}{38}$

Hence   probability of  picking 2 balloons of different colors is $\frac{15}{38}$ .

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