Question

Find the probability of getting all heads when flipping a coin 3 times.(write your answer as a reduced fraction)

Answer 1

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Use a probability tree to show the possible outcomes for flipping a coin 3 times

STEP 2: Write the required number of outcomes

`\begin{gathered} number\text{ of total outcomes}=8 \\ All\text{ heads}=(HHH) \\ n(All\text{ heads\rparen}=1 \end{gathered}`

STEP 3: Calculate the probability of getting all heads

`\begin{gathered} Probability(All\text{ heads\rparen}=\frac{number\text{ of All head}}{number\text{ of total outcomes}} \\ Pr(All\text{ heads\rparen}=(1)/(8) \end{gathered}`

Hence, the probability of getting all heads when flipping a coin 3 times is 1/8