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
In a certain game of chance, your chances of winning are 0.2 on each play. If...
In an instant lottery, your chances of winning are 0.2. If you play the lottery eight times and outcomes are independent, find the probability that you win at most once. Show complete work
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?
In an instant lottery, your chances of winning are 0.2. If you play the lottery one time and outcomes are independent, the probability that you do NOT win is:
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...
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?
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...
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?
Consider a chess tournament in which you play one game with each of 3 opponents, but you get to choose the order in which you play your opponents, knowing the probability of a win against each. You win the tournament if you win two games in a row, and you want to maximize the probability of winning. Assume that it is optimal to play the weakest opponent second, and that the order of playing the other two opponents doesn't matter....
We are going to play a game of chance. We will roll a die (half of a pair of dice) and if it comes up with one or two spots showing, you win and I will pay you $1.50. If it comes up with three, four, five, or six spots showing, you lose and you will pay me $1.20. So, the probability that you will win is 1/3 and the probability you will lose is 2/3. Your financial benefit will...
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?