Question

In the spinner below, what is true about the probability of landing on 3 and the probability of landing on 4?

A.The probability of landing on 3 is less than the probability of landing on 4.

B.The probability of landing on 3 is greater than the probability of landing on 4.

C.The probabilities are equal.

D.The probabilities cannot be predicted

Answer 1

C. The probabilities are equal.

Explanation:

Because all the sections on the spinner is equal, the probabilities are equal.

Answer 2

C.The probabilities are equal.

The above statement is the only TRUE statement.

Explanation:

Here, the given number of total possibilities are { 0,1,2,3,4,5,6,7,8,9}

So, number of total outcomes = 10

Let E : Event of spinner landing on 3

and E' : Even of spinner landing on 4

{Probability of Event E} =
`\frac{\textrm{Total number of favorable outcomes}}{\textrm{Toatl outcomes}}`

`\implies P(E) = (1)/(10)`

⇒ P( landing on 3 ) = 1/10

and
`P(E') = (1)/(10)`

P( landing on 4 ) = 1/10

Now, the given statements are

A.The probability of landing on 3 is less than probability of landing on 4.

FALSE, as both the probabilities are equal to 1/10.

B.The probability of landing on 3 is greater than probability of landing on 4.

FALSE, as both have same probabilities.

C.The probabilities are equal.

TRUE, both have same probability = 1/10

D.The probabilities cannot be predicted

FALSE, the probability are predictable.