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A coin is flipped 50 times and lands heads 28 times, find the…

Step by step, with the reason for every step · Experimental probability · Probability

Step by step

The question

Question: A coin is flipped 50 times and lands heads 28 times.

Find the experimental probability of heads.

1 Times it happened over times tried

It happened 28 times out of 50 flips.

So the experimental probability is 28/50.

P(heads) = 2850

Experimental probability comes from what really happened in the experiment.

experimental = what really happened

28 and 50 can both be divided by 2.

So it is 14/25.

= 28 ÷ 250 ÷ 2 = 1425

As a percent: 25 times 4 is 100.

14 times 4 is 56.

So it is 56%.

= 14 × 425 × 4 = 56100 = 56%

2 Compare with the theory

In theory, a coin has 2 sides, so heads is 1 out of 2: 50%.

= theory: 12 = 50%

Careful!

That is the theory.

The question asks what really happened: 56%.

Careful: not P(heads) = 50% ✗

56% is close to 50%.

With more flips, it usually gets even closer.

= 56% > 50%

3 Check

Let's check: 56% of 50 flips should be the 28 times.

56% of 50 is 28.

So the answer is right!

56% of 50 = 28

Let's look back.

First: times it happened over times tried.

Then: compare with the theory.

Last: check.

Answer
= 14 × 425 × 4 = 56100 = 56%

Your turn

Try this one yourself, then check:

Show the answer
60%

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