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Anit [1.1K]
3 years ago
5

A coin is tossed 10 times resulting in 7 heads and 3 tails. The same coin is tossed 1000 times resulting in 510 heads and 490 ta

ils. What is the theoretical probability of getting heads with this coin?
A. 51%
B. 70%
C. 50%
D. 49%
Mathematics
1 answer:
KiRa [710]3 years ago
8 0
The answer is <span>C. 50%.

The theoretical probability has nothing to do with the experiments. So, we will forget results of the experiment and think about theoretical probability. A coin has two sides - head and tail. The probability to get head is 1/2 = 0.5 = 50%. This is because if you toss the coin and you get head, head is one probability of two probability in total (head and tail). The same situation is with tail. Tail is .</span><span>one probability of two probability in total (head and tail).</span>
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(255)/(6)*(672)/(9)+(37)/(9) <br> How do you work this out step by step??
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Step 1. Type it into a Google search box or calculator. (You need to use a calculator anyway.) The result is 3177 4/9.

If you're doing this according to the Order of Operations, you do the multiplication and division left to right. This means the first calculation you do is
  255/6 = 42.5
Next, you multiply by 672
  42.5*672 = 28560
Then divide by 9
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You continue by doing the division
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And finish by adding the two results
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If you're doing this by hand, you can recognize the first term as the product of two fractions, so is the product of numerators divided by the product of denominators.
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Using your knowledge of divisibility rules, you can do the division 672/6 to simplify this to
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Now, the first term and the second term have the same denominator, so you can add the numerators before you do the division.
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You end up having to do only two simple divisions, rather than 3 of them.
  28597/9 = 3177 4/9

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<em>So</em><em> </em><em>the</em><em> </em><em>ans</em><em> </em><em>is</em><em> </em><em>C</em><em>.</em><em> </em>

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