Question

A computer program selects blue, red, or green as the background color each time the program is used. • The program was used 45 times on the same computer in one week. • Of those 45 times, a blue background appeared 12 times and a red background appeared 21 times. Based on this information, which statement about the likelihood of the green background appearing the next time the program is used is true? A. Green is just as likely as red or blue to appear. B. Green is just as likely as blue to appear, but not as likely as red. C. Green is not as likely as red or blue to appear. D. Green is not as likely as blue to appear, but is as likely as red.

Answer 1

Green is just as likely as blue to appear, but not as likely as red, is a true statement.

Answer: Option B.

Explanation:

• From the above mentioned information, we get to know that the program was used 45 times in the same computer in a week.

• Blue background appeared 12 times, whereas red background appeared 21 times.

• So if we add 12 and 21 then we will get 33. (12+21=33)

• The program was used 45 times, so out of 45, 33 times were used by red and blue background. So to get to know the number of times program used by green background, we will have subtract to 33 from 45, and we will get 12. (45-33=12)

• So the green background appeared 12 times just like the blue one.

Hence, Green is just as likely as blue to appear, but not as likely as red.

Answer 2

True statement is only

B. Green is just as likely as blue to appear, but not as likely as red.

Explanation:

Here we have , A computer program selects blue, red, or green as the background color each time the program is used. • The program was used 45 times on the same computer in one week. • Of those 45 times, a blue background appeared 12 times and a red background appeared 21 times.

We have following info from this as :

`blue = 12\\red=21\\green = 45-(21+12) = 12` times occurred .

A. Green is just as likely as red or blue to appear.

Green occurrence is 12 times which is likely to only blue not red. False statement!

B. Green is just as likely as blue to appear, but not as likely as red.

Yes, this statement is true as Green Green occurrence is 12 times which is likely to only blue , but not red as it's occurrence is 21 times!

C. Green is not as likely as red or blue to appear.

False statement ! Green is likely to blue but not red .

D. Green is not as likely as blue to appear, but is as likely as red.

False statement! Green is likely to blue .