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What is the probability of getting heads and then getting tails? Simplify your answer and write it as a fraction or whole number.

What is the probability of getting heads and then getting tails? Simplify your answer-example-1
User Nairolf
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Ok, so:

We flip a coin twice.

The probability to get a head first will be 1/2. That's because we have 1 favorable case over 2 possible cases.

In the second flip, we want to get a tail, so:

The probability to get a tail will be 1/2. That's because we have 1 favorable case over 2 possible cases.

Now, the probability of that events happen one and then other, will be given by the following events:

It could be that first, we get a tail and then a tail.

It could be that first, we get a tail and then a head.

It could be that first, we get a head and then a tail.

It could be that first, we get a head and then a head.

Looking at these possibilities, there's only one we need as a favorable case, over 4 possible cases.

So, we conclude that the probability of this, is 1/4. Which is the same than multiplying (1/2)*(1/2).

User Yashraj
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