Question

To play a game, you spin a spinner like the one shown. You win if the arrow lands in one of the areas marked "WIN". Lee played this game many times and recorded her results. She won 8 times and lost 40 times. Use Lee's data to explain how to find the experimental probability of winning this game.

Answer 1

Answer: $\dfrac{1}{6}$

Step-by-step explanation:

Given: The number of times Lee won the game = 8

The number of times lee lost the game = 40

Then , the total number of times, she played the game=$40+8=48$

Now, the experimental probability of winning this game is given by :-

$\text{P(win)}=\dfrac{\text{Number of wins}}{\text{Total number of games}}\\\\\RIghtarrow\text{P(win)}=\dfrac{8}{48}=\dfrac{1}{6}$

Hence, the experimental probability of winning this game = $\dfrac{1}{6}$

Answer 2

The data collected from the actual game experiment is:

Win: 8 times
Lose: 40 times
Total trials: 48 times

Therefore, the probability that you will win when you play this game is:

WIN = 8/48
        = 1/6 or 0.1667 = 16.67% chance of winning

LOSE = 40/48
           = 5/6 or 0.8333 = 83.33% chance of losing. 
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