Janice paints a flat stone red on one side and blue on the other. She tosses the stone 200 times, and it lands red side up 150 of those times. If she tosses the stone 20 more times, what is the best prediction for the number of times the stone will land blue side up?

Respuesta :

Answer: Probability of getting a blue side will be

[tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Since we have given that

Number of times she tossed the stone = 200

Number of times it lands on red side = 150

Probability of getting a red side is given by

[tex]\frac{150}{20}\\\\=\frac{15}{20}\\\\=\frac{3}{4}[/tex]

Probability of getting a blue side will be

[tex]1-\frac{3}{4}\\\\=\frac{4-3}{4}\\\\=\frac{1}{4}[/tex]

According to question, she tossed the stone 20 more times i.e.

[tex]200+20=220[/tex]

We have to find the  number of times the stone will land blue side up :

As we know that number of chances of getting a blue side is

[tex]\frac{1}{4}[/tex]

So, Number of times the stone will land blue side up will be same for next 20 times.