You are among 100 people attending a charity fundraiser at which a large-screen TV will be given away as a door prize. To determine who wins, 99 white balls and 1 red ball have been placed in a box and thoroughly mixed. The guests will line up and, one at a time, pick a ball from the box. Whoever gets the red ball wins the TV, but if the ball is white, it is returned to the box. If none of the 100 guests gets the red ball, the TV will be auctioned off for additional benefit of the charity a) What is the probability that the first person in line wins the TV? b) You are the sixth person in line. What is the probability you win the TV? c) Find the probability that it takes at least 10 people for the TV to be won. d) What is the probability that the charity gets to sell the TV because no one wins. e) Where would you want to be in line in order to maximize your chances of winning?

Respuesta :

a) The probability that the first person in line wins the TV is 1/100.

b) The probability that you win the game is 1/100.

c) It is not possible that  10 people for the TV to be won because there is only one red ball. If the first person pick the ball, then it is not returned to the box.

d)The probability that the charity gets to sell the TV because no one wins 99/100/

e) No certain rule is there.

What is probability?

Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

The number of white ball is 99.

The number of red ball is 1.

Total number of ball is 100.

a) If the first person win the game it means he picks red ball.

The probability of getting rad ball is = the number of red ball/ total number of ball = 1/100.

b)

If the sixth person win the game it means he picks red ball.

The probability of getting rad ball is = the number of red ball/ total number of ball = 1/100.

c) There is only one red ball. Whoever gets the red ball wins the TV and the game will be end.

Thus it is not possible that 10 people for the TV to be won.

d)

If a person lost the game it means he picks a white ball.

The  probability of getting white ball is = the number of white ball/ total number of ball = 99/100.

e) The position of a person does effect on the chances of winning.

Therefore there is no certain rule.

To learn more about probability, click on below link:

https://brainly.com/question/23503740

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