Question

if you flip a quarter and a penny, what is the probability of both of them coming up heads? 75% 0% 25% 50%

Explanation:

Step1: Find probability of quarter landing heads

A fair coin has 2 outcomes (heads or tails). Probability of quarter landing heads is $P(\text{quarter heads})=\frac{1}{2}$.

Step2: Find probability of penny landing heads

Similarly, probability of penny landing heads is $P(\text{penny heads})=\frac{1}{2}$.

Step3: Use multiplication rule for independent events

Since the coin flips are independent events, $P(\text{both heads}) = P(\text{quarter heads})\times P(\text{penny heads})=\frac{1}{2}\times\frac{1}{2}=\frac{1}{4}$.

Step4: Convert to percentage

$\frac{1}{4}=0.25 = 25\%$.

Answer:

25%