Question

In the spinner below, the large wedges are twice the size of the smaller ones. What is true about the probability of landing on 6 and the probability of landing on 5?

1) The probability of landing on 6 is half the probability of landing on 5.
2) The probability of landing on 6 is twice the probability of landing on 5.
3) The probabilities are equal.
4) The probabilities cannot be predicted.

Answer 1

The probability of landing on 6 is twice the probability of landing on 5 if 6 is on a larger wedge and 5 is on a smaller wedge, according to the given information.

Step-by-step explanation:

In analyzing the probability of landing on 6 versus landing on 5, given that the spinner has large and small wedges, and the large wedges are twice the size of the smaller ones, the probability of landing on one over the other is about their relative sizes. Since larger wedges have a higher probability, and the large wedge is twice as large as the small one, the probability of landing on 6 (if it is on a large wedge) is twice as high as landing on 5 (if it is on a small wedge).

So, if we assume that the number 6 is on a large wedge and the number 5 is on a small wedge,

• The probability of landing on 6 is twice the probability of landing on 5, making option 2) correct.