Suppose you toss a coin 100 times and get 71 heads and 29 tails. Based on these results, what is the probability that the next
flip results in a head?
1 answer:
Answer:
0.71
Step-by-step explanation:
When a coin is tossed 100 times, it yields heads 71 times and tails 29 times.
So the probability of heads = Number of heads/Total number of tosses
= ![\[\frac{71}{100}\]](https://tex.z-dn.net/?f=%5C%5B%5Cfrac%7B71%7D%7B100%7D%5C%5D)
= ![\[0.71\]](https://tex.z-dn.net/?f=%5C%5B0.71%5C%5D)
Similarly, probability of tails = Number of tails/Total number of tosses
= ![\[\frac{29}{100}\]](https://tex.z-dn.net/?f=%5C%5B%5Cfrac%7B29%7D%7B100%7D%5C%5D)
= ![\[0.29\]](https://tex.z-dn.net/?f=%5C%5B0.29%5C%5D)
So the probability that the next flip results in a head = Probability of heads in the toss = 0.71
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