Question

Stacy uses a spinner with six equal sections numbered 2, 2, 3, 4, 5, and 6 to play a game. Which of the following statements is true? Select all that apply. A. The probability of the pointer landing on an even-numbered section is 66.67%. B. It is impossible that the pointer will land on 1. C. It is less likely that the pointer will land on an odd-numbered section. D. It is certain that the pointer will land on a number less than 6. E. The spinner is fair.

Answer 1

A, B and C are the correct answers.

Explanation:

Correct:

A - There are 4 even numbers all together. 2 is repeated twice, there is a 4 and a 6. 4 divided by 6 is 0.666 repeated. Multiply by 100 which gives you 66.666 repeated and then round up, so now we have 66.67%. This is the probability.

B - It’s impossible that the pointer will land on 1 because there in no 1.

C - It’s less likely because there are only two odd numbers, 3 and 5. Compare that to the 4 even numbers. 4 > 2. Therefore the odd numbers, or the two, is less likely than the even numbers, the 4.

Incorrect:

D - There is only one 6 out of 6 numbers total. So 1 out of 6. We cannot be certain, it fact, it would be said that it’s very unlikely for the pointer to land on the 6.

E - The spinner is most certainly not fair. The spinner has one of each number except for the 2. There are double twos. On a normal spinner you would see a number 1 replace on of the 2. This ways the spinner will be 1 through 6.

If it makes any of you more confident in this answer, my assessment also had this question and I got it correct by answering with A, B and C.