3. In a certain game of chance, you have a 3/4 chance of winning each time...
3. In a certain game of chance, you have a 3/4 chance of winning each time you play with the outcomes each time you play independent of each other). Suppose you play the game until you win for the first time. What is the probability you will win the game on the first second, or third time playing it? 4. A box of 40 fuses contains 10 fuses which are defective. If you randomly choose a collection of 5 fuses...
In a certain game of chance, your chances of winning are 0.2 on each play. If you play the game five times and outcomes of each play are independent, the probability that you win at least once is (A) 0.6723 (B) 0.1091 (C) 0.2000 (D) 0.3277 the answer is A but how is it A
Your probability of winning a game of chance is 0.4. If you play the game 3 times, what is the probability that you will win exactly 2 times?
Suppose you make a dollar bet on a game in which there is a 1 in 5 chance to win. If you win, you win two dollars. On average, you will lose playing this game and each play costs you _______ cents. If you play 200 times, you can expect to lose around _______ dollar .You play roulette betting one dollar on the number 5 each time. The bet pays 35 to 1. You have a 1 in 38 chance to...
An instant lottery game gives you probability 0.10 of winning on any one play. Plays are independent of each other. You play 4 times. a) If X is the number of times you win, contract the probability distribution of X. b) What is the probability that you don't win at all? c) What is the probability that you win at least once? d) What is the expected value of X? What is the standard deviation of X?
Let X denote the number of times you have to play a game in order to win once. Assume attempts are independent, and that the chance of winning each time you play is p. (a) Find the probability that X is even (as a function of p). [Hint: You’ll use a geometric series from calculus.] (b) What happens to your answer to (a) as p → 1?
In each of 4 football games, Blue has a 60% chance of winning. Assuming that the football games are independent of each other, what is the probability that Blue will win at least 2 games. Please show work, thank you!
Problem: A game gives you the probability .10 of winning on any 1 play. Plays are independent of each other. You play a total of 4 times. Let X represent the number of times you win. a) What is the probability that you don't win at all? b) what is the probability that you win at least once? c) what is the probability that you win once or twice? d) what is the expected value of X? What is the...
Problem 1. Suppose we are betting money on the outcome of a game of chance with two outcomes (e.g. roulette). If we guess correctly we get double our bet back and otherwise we lose the money we've bet. Consider the strategy where you initially bet one euro and you keep playing and doubling your bet until the first time you win. At that point you go home, having made a net profit. Let p be the probability of winning a...
Each game you play, you win with probability p, 0<p<1. You plan to play 5 games, but if you win the fifth game, you will keep playing until you lose. Assume the outcome of each game is independent of all others. a) Find the expected number of games you loss. b) Find the expected number of games you win.