Answer:
C.The probabilities are equal.
The above statement is the only TRUE statement.
Step-by-step 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}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctextrm%7BTotal%20number%20of%20favorable%20outcomes%7D%7D%7B%5Ctextrm%7BToatl%20outcomes%7D%7D)
![\implies P(E) = \frac{1}{10}](https://tex.z-dn.net/?f=%5Cimplies%20P%28E%29%20%3D%20%5Cfrac%7B1%7D%7B10%7D)
⇒ P( landing on 3 ) = 1/10
and ![P(E') = \frac{1}{10}](https://tex.z-dn.net/?f=%20P%28E%27%29%20%3D%20%5Cfrac%7B1%7D%7B10%7D)
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.