Respuesta :
Answer:
the events are dependent because P(blue). P(green) = P(blue and green) (C)
Question:
A question related to this as found in another website (quizlet) is stated below:
A box contains different-colored marbles. If P(blue) = 1/4, P(green) = 1/4, and P(blue and green) = 1/12, which state
true?
The events are independent because P(blue). P(green) = P(blue and green).
The events are independent because P(blue). P(green) + P(blue and green).
The events are dependent because P(blue). P(green) = P(blue and green).
The events are dependent because P(blue). P(green) + P(blue and green).
Step-by-step explanation:
If P(blue) =1/4 , P(green) = 1/4, and P(blue and green) =1/12
Two events are said to be dependent if the outcome of the second is affected by the outcome of the first thereby causing the probability to change.
For probability without replacement, the probability for the second event changes. Therefore, the events are dependent
For B and G to be dependent events, we would assume the Ist marble wasn't replaced before picking another, thereby reducing the total marbles for the 2nd event from 4 to 3.
The probability of both events occurring is the product of the probabilities of the individual events = 1/4 ×1/3 = 1/12
Two events are said to be independent if the outcome of the second event is not affected by the outcome of the first event. Probability with replacement falls under this (in thus case, that is the 1st marble is replaced before picking another)
For B and G to be independent events, the probability of both events occurring is the product of the probabilities of the individual events = 1/4 ×1/4 = 1/16
Therefore, the events are dependent because P(blue). P(green) = P(blue and green) (C)
Answer:
It's D if this is the question it's asking
Step-by-step explanation:
