about 13% of the population is nervous around strangers. If 2 people are randomally seclected, what is the probability that both are nervous around strangers?
Probability of both/all events occurring is found by multiplying the probabilities of the individual events.
(.13)^2
To calculate the probability that both people are nervous around strangers, you'll need to multiply the probabilities of each event occurring separately.
First, let's calculate the probability of selecting one individual who is nervous around strangers. Since 13% of the population is nervous around strangers, the probability of selecting one person who is nervous would be 0.13 or 13%.
Now, since we are selecting two individuals randomly, the probability of selecting a second person who is nervous around strangers would also be 0.13 or 13%.
To find the probability of both events occurring, we multiply the probabilities together:
0.13 (probability of the first person being nervous) * 0.13 (probability of the second person being nervous).
0.13 * 0.13 = 0.0169
So, the probability that both randomly selected people are nervous around strangers is 0.0169, or 1.69%.