Answer:
0.35
Problem Statement:
At a carnival, one game costs $1 to play. The contestant gets one shot in an attempt to bust a balloon. Each balloon contains a slip of paper with one of the following messages:
Sorry, you do not win, but you get your dollar back. (The contestant has not lost the $1 cost.)
Congratulations, you win $2. (The contestant has won $1.)
Congratulations, you win $5. (The contestant has won $4.)
Congratulations, you win $10. (The contestant has won $9.)
If the contestant does not bust a balloon, then the $1 cost is forfeited. The table below displays the probability distribution of the discrete random variable, or net winnings for this game
<u>Net Winnings</u> −1 0 1 4 9
<u>Probability</u> 0.25 ? 0.3 0.08 0.02
Step-by-step explanation:
The missing probability is the probability for net winnings of zero.
If contestant receives the message, “Sorry, you do not win, but you get your dollar back,” then his net winnings is 0$.
So,
<em>Sum of all probabilities = 1</em>
The probability of winning 0$ is = Sum of all probabilities - (Sum of other given probabilities)
<em />
The probability of winning 0$ is =1 - 0.25 - 0.3 - 0.08 -0.02 = 0.35
<u><em>The probability that a contestant will bust a balloon and receive the message, "Sorry, you do not win, but you get your dollar back" is </em></u><u>0.35</u>
