About 13% of the population is left handed. If two people are randomly selected what is the probability that both are left handed?
.13 * .13
To calculate the probability that both selected people are left-handed, we need to consider the probability of the first person being left-handed and the probability of the second person being left-handed, given that the first person is already left-handed.
The probability of the first person being left-handed is 13%, which can be expressed as a decimal as 0.13.
Since the first person is already selected and is left-handed, the probability of the second person being left-handed is dependent on the first person. Now, there is one fewer person left in the population, and the percentage of left-handed people in the remaining population is 12% because we have removed one left-handed person.
To calculate the probability of both being left-handed, we need to multiply the probability of the first person being left-handed by the probability of the second person being left-handed, given that the first person is left-handed.
Probability of both being left-handed = Probability of first person being left-handed × Probability of second person being left-handed, given that first person is left-handed
= 0.13 × 0.12
= 0.0156
Therefore, the probability that both selected people are left-handed is 0.0156, or 1.56%.