Question

You are given an urn with 100 balls (50 black and 50 white). You pick balls from urn one by one without replacements until all the balls are out. A black followed by a white or a white followed by a black is "a colour change". Calculate the expected number of colour changes if the balls are being picked randomly from the urn

Answer 1

Answer:

each color is 25 times follow the other color .

Step-by-step explanation:

total balls is 100.50 black and 50 white.if 1ball follow other ball 25x2=50+25×2=50+=100 balls.

Mark brainliest

Answer 2

Answer:

Step-by-step explanation:

There are 99 positions. Let X_i be a random variable taking value 1 if i_th position has a colour change and zero otherwise.

We have to find expected value of E[X_1 + X_2 + ... + X_99]

Since all X_i are equivalent, the answer is 99*E[X_i]

E[X_i] = ((50/100)*(50/99)+(50/100)*(50/99)) = 50/99

So, Answer is 50.