From two bags like A and B, A has 2 pink and 3 purple balls, B...

From two bags like A and B, A has 2 pink and 3 purple balls, B has 4 pink and 5 purple balls. A random ball is received from A. It is thrown to B and a random ball is drawn from B.

I- What is the probability that the Last drawn ball is purple?

II- What is the probability that the balls drawn from A and B are the same color?

Which of the following is true

Expert Solution

solution:

1) 14/25

2) 14/25

orchestra answered 1 year ago

There are 6 purple balls, 5 blue balls, and 3 green balls in a box. 5...

There are 6 purple balls, 5 blue balls, and 3 green balls in a box. 5 balls were randomly chosen (without replacing them). Find the probability that (a) Exactly 3 blue balls were chosen. (b) 2 purple balls, 1 blue ball, and 2 green balls were chosen.

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?

1) Consider 3 bags of colored balls. Bag A contains a blue, a yellow and a...

1) Consider 3 bags of colored balls. Bag A contains a blue, a yellow and a green ball. Bag B contains a cyan and a magenta ball. Lastly, bag C contains a red, a black, a white and a grey ball. If you decide to grab 1 ball from bag A, 1 ball from bag B and 2 balls from bag C, how many ways can you obtain 4 colored balls? Note that none of the colors mentioned are the...

There are two bags of coins. In the first bag there are 3 gold, 2 silver...

There are two bags of coins. In the first bag there are 3 gold, 2 silver coins. In the second bag there are 1 gold, 4 silver coins. 2 coins are randomly picked from the first bag, and then dropped into the second bag. Then a coin is randomly selected from the second bag. If this coin is a gold coin, what is the probability that both coins picked from the first bag were gold?

An urn contains 5 red, 3 orange, and 2 blue balls. Two balls are randomly selected...

An urn contains 5 red, 3 orange, and 2 blue balls. Two balls are randomly selected simultaneously. (a) What is the sample space? (b) Define an RV X as the number of orange balls selected. Show the map from the sample space to X. (c) Find the PMF of X. (d) Find the CDF of X. i have the solutions can one show how to find the probablity on 4c

: Consider two bags in which we have balls of three different colors. Details are in...

: Consider two bags in which we have balls of three different colors. Details are in the following table. Red Yellow Green Bag A 3 5 4 Bag B 2 4 x A bag is chosen at random and then a ball is chosen. A. If the probability of green ball is 21 5, find x. B. Find the probability of Bag A and it is given that the ball chosen is green.

3. A box contains 5 red balls, 3 blue balls and 1 black balls. Take two...

3. A box contains 5 red balls, 3 blue balls and 1 black balls. Take two balls out randomly. Let X be number of red balls and Y be the number of black balls. (1) Find the joint distribution of (X, Y ). (2) Find P(X = 1|Y = 1).

3. Box A contains 6 red balls and 3 green balls, whereas box B contains 3...

3. Box A contains 6 red balls and 3 green balls, whereas box B contains 3 red ball and 15 green balls. Stage one:One box is selected at random in such a way that box A is selected with probability 1/5 and box B is selected with probability 4/5. Stage two: First, suppose that 1 ball is selected at random from the box selected at stage one. a) What is the probability that the ball is red? b) Given that...

(11 marks) In a box of 5 balls, 2 are red and 3 are blue. Two...

In a box of 5 balls, 2 are red and 3 are blue. Two balls are randomly selected (without replacement). Let X be the number of red balls in the two selected balls. a. Find the probability distribution of X (i.e., list all possible values of X and their corresponding probabilities). b. Find the expected value and the standard deviation of X.

Suppose that we have two bags each containing black and white balls. One bag contains two...

Suppose that we have two bags each containing black and white balls. One bag contains two times as many white balls as black balls. The other bag contains two times as many black balls as white. Suppose we choose one of these bags at random. For this bag we select five balls at random, replacing each ball after it has been selected. The result is that we find all balls are white balls. What is the probability that we were...

Question