Question

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

Answer 1

Getting heads (or tails) when flipping a coin has a probability of:

$P(H)=\frac{1}{2}$

When we flip the coin for the second time, the head is still there, so the probabilities are the same:

$P(H)=\frac{1}{2}$

The probability of getting heads twice is the product of the individual (independent) events:

$P(H,H)=\frac{1}{2}\cdot\frac{1}{2}$

Calculating:

$P(H,H)=\frac{1}{4}$