A bag has 3 red balls and x white balls. A random ball is dragged out...

A bag has 3 red balls and x white balls. A random ball is dragged out from the bag and replaced with a ball of the other color. If a second ball is dragged knowing that the probability that this second ball is red is 17/50, then find the number of white balls.

Expert Solution

milcah answered 1 year ago

A bag contains 8 red balls and some white balls. If the probability of drawing a white ball is half of the probability of drawing a red ball then find the number of white balls in the bag.

An urn contains 7 black balls, 4 red balls, 3 white balls and 1 blue ball,...

An urn contains 7 black balls, 4 red balls, 3 white balls and 1 blue ball, and a player is to draw one ball. If it is black, he wins $1, if it is red, he wins $2, if it is white he wins $3 and if it is blue, he pay $25. a. Set up the empirical probability distribution for the random variable X, the payoff of the game. Game Payoff (X) Probability [P(X) $1 $2 $3 $4 b....

A bag contains 4 red and 6 black balls. A ball is drawn at random from the bag, its colour is observed and this ball along with two additional balls of the same colour are returned to the bag

A bag contains 4 red and 6 black balls. A ball is drawn at random from the bag, its colour is observed and this ball along with two additional balls of the same colour are returned to the bag. If now a ball is drawn at random from the bag, then the probability that this drawn ball is red

A box contains 2 ?red, 3 white and 3 green balls. Two balls are drawn out...

A box contains 2 ?red, 3 white and 3 green balls. Two balls are drawn out of the box in succession without replacement. What is the probability that both balls are the same? color?

Bag 1 contains 3 red balls and 7 green balls. Bag 2 contains 8 red balls...

Bag 1 contains 3 red balls and 7 green balls. Bag 2 contains 8 red balls and 4 green balls. Bag 3 contains 5 red balls and 11 green balls. Bag 1 is chosen twice as often as either Bag 2 or Bag 3 (which have the same probability of being chosen). After a bag is chosen, a ball is chosen at random from that bag. Calculate the probability that: a) a red ball is chosen b) a red ball...

Two balls are drawn in succession out of a box containing 3 red and 3 white...

Two balls are drawn in succession out of a box containing 3 red and 3 white balls. Find the probability that at least 1 ball was red, given that the first ball was replaced before the second draw.

A box contains three white balls, two black balls, and one red ball. Three balls are...

A box contains three white balls, two black balls, and one red ball. Three balls are drawn at random without replacement. Let Y1 be the number of white balls drawn, and Y2 the number of black balls drawn. Find the distribution of Z = Y1 × Y2

There are six blue balls and four red balls in the pocket. Take out a ball...

There are six blue balls and four red balls in the pocket. Take out a ball at random, check the color and put it back in the pocket. 1. If you take the ball out until the red one comes out, what is the probability that the ball will be drawn exactly five times and the experiment is over? 2. What is the average and variance of the number of times X is taken if the ball is pulled out...

Two balls are drawn in succession out of a box containing 4 red and 3 white...

Two balls are drawn in succession out of a box containing 4 red and 3 white balls. Find the probability that at least 1 ball was red, given that the first ball was Replaced before the second draw. Not replaced before the second draw.

Two balls are drawn in succession out of a box containing 3 red and 5 white...

Two balls are drawn in succession out of a box containing 3 red and 5 white balls. Find the probability that at least 1 ball was? red, given that the first ball was left parenthesis Upper A right parenthesis Replaced before the second draw. left parenthesis Upper B right parenthesis Not replaced before the second draw. ?(A) Find the probability that at least 1 ball was? red, given that the first ball was replaced before the second draw.

Question