a store is selling signs that read \happy holidays.\ the signs come in two sizes and two colors. what is the…
a store is selling signs that read \happy holidays.\ the signs come in two sizes and two colors. what is the probability that a randomly selected sign is big given that the sign is red? simplify any fractions.
Answer
Explanation:
Step1: Find total red signs
Add the number of big - red and small - red signs. $4 + 1=5$.
Step2: Find number of big - red signs
The number of big - red signs is 4.
Step3: Calculate conditional probability
The formula for conditional probability $P(A|B)=\frac{P(A\cap B)}{P(B)}$. In this case, the probability that a sign is big given that it is red is the number of big - red signs divided by the total number of red signs. So the probability is $\frac{4}{5}$.
Answer:
$\frac{4}{5}$