The probability of winning a game is 25%. How many times should you expect to win if you play 40 times?
a. 4
b. 10 ****
c. 16
d. 2
I've seen someone suggest 5, but that is not one of the answers. So 25% out of 40 is 10, wouldn't that be my answer?
25 * 40 = 10
Yes, 10 is the right answer.
Okay thanks Ms.Sue!
You're welcome, Vesphy.
Yes, you're correct! The correct answer is indeed 10 (option b). To understand why, let's break it down:
The probability of winning a single game is 25%, which can also be written as 0.25 or 1/4.
When you play a game, the outcome is independent of previous games. This means that the probability of winning or losing a game remains constant, regardless of what happened in previous games.
So, for each of the 40 games you play, the probability of winning is still 0.25.
To find the expected number of wins, you multiply the probability of winning by the total number of games played. In this case, it would be 0.25 multiplied by 40:
Expected number of wins = Probability of winning * Total number of games played
Expected number of wins = 0.25 * 40 = 10
Therefore, if you play the game 40 times, you should expect to win around 10 times. Option b, which is 10, matches this expectation.