. The probability of winning a game is 25%. How many times should you expect to win if you play 40 times? (1 point)
You can expect to win 10 times if you play 40 times.
To see why, think about the definition of probability: Probability = Number of successful outcomes / Total number of possible outcomes.
In this case, the probability of winning is 25%, which means out of every 100 games played, you would expect to win 25 times. So for 40 games played, you can expect to win 25/100 * 40 = 10 times.
To determine how many times you should expect to win if the probability of winning a game is 25% and you play 40 times, you can use the formula for expected value.
The expected value (E) is calculated by multiplying the number of trials (n) by the probability of success (p).
E = n * p
In this case, the probability of winning the game is 25% or 0.25, and the number of trials is 40.
E = 40 * 0.25
E = 10
Therefore, you should expect to win approximately 10 times if you play the game 40 times.