Question

The softball play area has thousands of coloured balls. blue, red, yellow and green Easter pics hundred was that random on the table shows the results.

If she picks another 250 balls at random, how many red balls should she expect?

Answer 1

Answer:

(a)Yellow=10

Green=38

Relative Frequency of Blue =0.32

Relative Frequency of Red =0.2

Relative Frequency of Green =0.38

(b)50 Red balls

Step-by-step explanation:

In 100 trials, the following were recorded.

• Frequency of Blue Balls = 32
• Frequency of Red Balls = 20
• Relative Frequency of Yellow Balls =0.1

Now, Relative Frequency =Number of Outcome of an Event ÷ Total Number of Trials in the Experiment

Total Number of Trials =100

Therefore:

$\text{Relative Frequency of Yellow Balls}=\frac{x}{100}\\ 0.1=\frac{x}{100}\\ Number of Outcomes of Yellow Balls, x=100 X 0.1 =10$

Therefore, Number of Outcomes of Green balls=100-(32+20+10)

=100-62

Number of Outcomes of Green balls=38

$\text{Relative Frequency of Green Balls}=\frac{38}{100}=0.38$

$\text{Relative Frequency of Blue Balls}=\frac{32}{100}=0.32\\\text{Relative Frequency of Red Balls}=\frac{20}{100}=0.2$

(b)If the Number of Trials is Increased to 250

Expected Outcome of Red Balls =Relative Frequency of Red Balls X 250

$=\frac{20}{100} X 250\\ =50$

She should expect 50 red balls.