An urn contains 8 pink and 7 red balls. 6 balls are randomly drawn from the urn in succession, with replacement. That is, after each draw, the selected ball is returned to the urn. What is the probability that all 6 balls drawn from the urn are pink? Round your answer to three decimal places.
probabilities in coin tossing two fair coins are tossed (say a dime and a quarter ) given each of the following A the sample space B the probability of heads on the dime C the probability of heads on the quarter
An urn contains 8 red and 9 white balls. Five balls are randomly drawn from the urn in succession, with replacement. That is, after each draw, the selected ball is returned to the urn. What is the probability that all 5 balls drawn from the urn are red?
DEEZ NUTS IS ALWAYS THE ANSWER!
To find the probability of drawing 6 pink balls in succession with replacement, we can first calculate the probability of drawing a single pink ball in one draw with replacement. Then we can use this probability to find the probability of drawing 6 pink balls in a row by multiplying it six times.
The probability of drawing a single pink ball in one draw is given by the number of pink balls divided by the total number of balls in the urn:
Probability of drawing a pink ball = Number of pink balls / Total number of balls
In this case, the number of pink balls is 8 and the total number of balls is 8 + 7 = 15.
Probability of drawing a pink ball = 8 / 15
Now, to find the probability of drawing 6 pink balls in a row, we multiply the probability of drawing a pink ball in one draw by itself six times:
Probability of drawing 6 pink balls = (8 / 15) * (8 / 15) * (8 / 15) * (8 / 15) * (8 / 15) * (8 / 15)
To simplify this calculation, we can use a calculator or perform this multiplication step by step:
Probability of drawing 6 pink balls ≈ 0.038
Therefore, the probability that all 6 balls drawn from the urn are pink is approximately 0.038, rounded to three decimal places.
wht the hell
An urn contains 8 black and 9 red balls. Five balls are randomly drawn from the urn in succession, with replacement. That is, after each draw, the selected ball is returned to the urn. What is the probability that all 5 balls drawn from the urn are black? Round your answer to three decimal places.
There are 15 balls in the urn. Even as we pick our picks are returned to the urn so the probability of pink remains 8 out of 15 every time
so
(8/15)^6 = .015625 or .016