8. If you flipped a penny 80 times, about how many times would you expect it to
ID: 3195415 • Letter: 8
Question
8. If you flipped a penny 80 times, about how many times would you expect it to land heads up? 9. Would you definitely get the number of heads you found in Question 8? Discuss. 10. Our probability diagram contains a picture of a good hand in poker: four 8s. If you were to rand card from that hand, what's the probability that it would be an 8? Write as a fraction between zer and as a percent. 11. Write a sentence describing the percent chance of drawing the king from that hand of cards Each of the probabilities that we've calculated so far can be found without doing any actual experin know for sure that when we roll a die, there are six possible results, and only one of them is a 4. T probability is known as theoretical probability. Our calculations are based on observing how many are possible, how many fit a certain criteria, and assuming that each of the outcomes is as likely as an occur. If the die were weighted strangely to make 4 more likely to come up than other numbers, our p calculation wouldn't be accurate anymore. In that case, we might turn our attention to empirical probability. We could roll the die a bunch let's say 100- and record how many times 4 comes up. If we then divide the number of times we got total number of rolls, that would give us an approximate percent chance of rolling 4.Explanation / Answer
Answers
Q8
Assuming that the coin is fair (unbiased), the probability it will turn up ‘heads’ is ½. So, if it is flipped 80 times, the expected number of ‘heads’ turning up is = 80 x ½ = 40 ANSWER
Q9
The answer to Q8 above does not imply that one would surely get 40 heads up on flipping a coin 80 times. It only means that on an average it would be 40. This would mean that if one repeating the process of flipping a coin 80 times a number of times, the average number of heads up per trial would be 40.
Individually, the number of heads up could vary within 40 ± 3(80 x ½ x ½) [3-sigma limits] = 40 ± 320
= 40 ± (3 x 4.47)
= [27, 53] ANSWER
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