Question

What’s the dependent probability of this?

"A spinner has an equal chance of landing on each of its six numbered regions. You spin twice. The first spin lands in region one and the second spin lands in region three"

Answer 1

i believe the answer is independant.

if i'm wrong, please tell me so i can fix my mistake =)

Answer 2

The independent probability is P(1st and 2nd spin) = 2.78 %

Explanation:

A spinner has an equal chance of landing on each of its six numbered regions so each spin has 6 possible outcomes.

Recall that the probability is given by

P = number of outcomes we are interested in/total number of possible outcomes

The number of interest outcomes = 1 ( landing in region one or three)

These two spins are mutually exclusive meaning that they are independent of each other, the probability of landing in region one doesn't affect the probability of landing in region three.

First spin:

The Probability of landing in region one is = P(1st spin) = 1/6

Second spin:

The Probability of landing in region three is = P(2nd spin) = 1/6

P(1st and 2nd spin) = P(1st spin)*P(2nd spin)

P(1st and 2nd spin) = 1/6*1/6

P(1st and 2nd spin) = 1/36

P(1st and 2nd spin) = 2.78 %