Question

the forecast predicts a 50% chance of rain on tuesday and a 60% chance on wednesday. if these probabilities are independent, what is the probability that it will rain on both days?
.3%
3.0%
30%
300%

Explanation:

Step1: Convert percentages to decimals

The probability of rain on Tuesday $P(T)=0.5$ and the probability of rain on Wednesday $P(W) = 0.6$.

Step2: Use the formula for independent - event probability

For independent events, the probability of both events occurring is $P(T\cap W)=P(T)\times P(W)$.
So $P(T\cap W)=0.5\times0.6 = 0.3$.

Step3: Convert decimal to percentage

$0.3\times100\%=30\%$.

Answer:

30%