Isla flipped a coin 30 times. The coin landed heads up 9 times and tails up 21 times.
Part A: Based on the results, what is the experimental probability of the coin landing heads up? Show your work. (5 points)
Part B: What is the theoretical probability of the coin landing heads up? Show your work. (5 points)
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Experimental probability is defined as the proportion of the favorable event:
# observed favorable / # observed total
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what is the number favorable here
I need help with the experimental question.
30 is the total , not the number favorable
Then it is 9?
So it is 9/30 = 0.3 21/30 = 0.7.
I'll metal them please help!
What is the experimental probability?
\(Experimental\) means what you get after you flip the coins and count the number of heads.
In this case you (actually Isla) counted 9. You tried 30 times so the experiment predicts that the probability of heads is 9/30.
The theoretical solution is what you get by making assumptions. The easiest assumption is that the number of heads and the number of tails should be about the same after many many experiments. Right?
So if you expect an equal number of heads and an equal number of tails, how many heads would you expect after 30 flips of the coin? You'll get #heads/30 = 0.50, which is the theoretical probability of heads.
Hope this helps.