you flip a coin twice. what is the probability of getting heads and then getting heads? write your answer as…

you flip a coin twice. what is the probability of getting heads and then getting heads? write your answer as a decimal rounded to the nearest thousandth.

you flip a coin twice. what is the probability of getting heads and then getting heads? write your answer as a decimal rounded to the nearest thousandth.

Answer

Explanation:

Step1: Determine single - flip probability

The probability of getting heads in a single coin - flip is $P(H)=\frac{1}{2}=0.5$ since there are 2 possible outcomes (heads or tails) and 1 favorable outcome (heads).

Step2: Use multiplication rule for independent events

Since the two coin - flips are independent events, the probability of getting heads on the first flip and heads on the second flip is $P(H_1\cap H_2)=P(H_1)\times P(H_2)$. Substituting $P(H_1) = 0.5$ and $P(H_2)=0.5$, we get $P(H_1\cap H_2)=0.5\times0.5 = 0.250$.

Answer:

0.250