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Archy [21]
3 years ago
9

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​?
Mathematics
1 answer:
murzikaleks [220]3 years ago
4 0

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

= \[\frac{71}{100}\]

= \[0.71\]

Similarly, probability of tails = Number of tails/Total number of tosses

= \[\frac{29}{100}\]

= \[0.29\]

So the probability that the next flip results in a head = Probability of heads in the toss = 0.71

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\begin{cases} a + b = 36000\\\\ 0.07a+0.09b=2920 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{using the 1st equation}}{a + b = 36000\implies \underline{b = 36000-a}}~\hfill \stackrel{\textit{substituting on the 2nd equation}}{0.07a~~ + ~~0.09(\underline{36000-a})~~ = ~~2920} \\\\\\ 0.07a+3240-0.09a=2920\implies 3240-0.02a=2920\implies -0.02a=-320 \\\\\\ a=\cfrac{-320}{-0.02}\implies \boxed{a=16000}~\hfill \boxed{\stackrel{36000~~ - ~~16000}{20000=b}}

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