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Artyom0805 [142]
3 years ago
7

If a fair coin is tossed, the probability that it will land heads up is ½. Olivia tosses a coin 4 times, and it lands on heads 4

consecutive times. Which statement below is true?
A. If Olivia tosses the coin a fifth time, it will land on heads, because the experimental probability of landing on heads is 100%.
B. If Olivia tosses the coin a fifth time, it will most likely land on heads because the fifth toss is dependent on what happened during the first 4 tosses.
C. If Olivia tosses the coin a fifth time, there is a ½ probability that it will land on heads, because it is an independent event, and it does not matter what happened during the first four tosses.
D. If Olivia tosses the coin a fifth time, there is a 0% chance that the coin will land on heads.
Mathematics
1 answer:
disa [49]3 years ago
6 0

Answer:

C

Step-by-step explanation:

The tosses before that were all by chance, the probability is still the same. Nothing changes.

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Step-by-step explanation:

We can solve the problem in this way:

- The 1st information that we have is that the four numbers are even and consecutive integer. Let's call these numbers A, B, C and D. This means that:

D=C+2\\C=B+2\\B=A+2

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- The 2nd information that is given is that the sum of the first and third multiplied by 3 equals 28 less than 5 times the fourth, so:

3(A+C)=5D-28 (1)

Now we rewrite eq(1) by using:

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3(C-4+C)=5(C+2)-28

Solving this equation for C,

6C-12=5C+10-28\\C=-6

So the other numbers are:

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