A computer program selects purple, pink or orange as the background color each time the program is used. The program was used 30 times on the same computer in one week. Of those 30 times, a purple background appeared 12 times and a pink background appeared 10 times. Based on this information, which statement about the likelihood of the orange background appearing the next time the program is used is true? Responses A Orange is just as likely to appear as purple but not as likely as pink. Orange is just as likely to appear as purple but not as likely as pink. B Orange is not as likely to appear as purple and pink. Orange is not as likely to appear as purple and pink. C Orange is not as likely to appear as purple but is as likely as pink. Orange is not as likely to appear as purple but is as likely as pink. D Orange is just as likely as purple or pink to appear. answer correctly
B Orange is not as likely to appear as purple and pink.
wrong
D Orange is just as likely as purple or pink to appear.
explain
The likelihood of the orange background appearing is independent of the previous occurrences of purple and pink backgrounds. Since the program randomly selects from three options each time it is used, the likelihood of the orange background appearing next is the same as the likelihood of purple or pink backgrounds appearing. Each color has an equal chance of being selected each time the program is used, so the correct statement is that orange is just as likely as purple or pink to appear.
