Diamond is playing a game. In the game she has to spin a spinner that is divided into equal sections of orange, red, purple, and pink. What is the probability that on her first spin she will land on pink and then red on her second spin?
Is that independent or dependent
The probability of landing on pink on the first spin is 1/4 since there are four equally likely outcomes. Similarly, the probability of landing on red on the second spin is also 1/4.
Since the outcome of the first spin does not affect the outcome of the second spin (assuming the spinner is well-balanced and unbiased), we can say that the spins are independent of each other.
To find the probability of both events occurring together, we multiply the probabilities of each event:
P(pink and red) = P(pink) x P(red)
P(pink and red) = 1/4 x 1/4
P(pink and red) = 1/16
Therefore, the probability of Diamond landing on pink and then red on her first two spins is 1/16.