Question

According to a recent study, 9% of the population is left-handed. If we select 2 people at random, what is the probability that both are lefthanded? Give your answer to 4 decimal places.

Answer 1

The probability that both people selected at random are left-handed is 0.0081 when rounded to four decimal places.

Step-by-step explanation:

To calculate the probability that both people selected at random are left-handed, we can use the probability rule for independent events. Since one person being left-handed does not affect another's chances of being left-handed, we consider these events independent.

The probability of the first person being left-handed is given as 9%, or 0.09. The probability of the second person being left-handed is also 0.09. To find the probability that both people are left-handed, we multiply the probability of the first person being left-handed by the probability of the second person being left-handed.

Probability of both being left-handed = Probability of first person being left-handed * Probability of second person being left-handed

= 0.09 * 0.09

= 0.0081 (rounded to four decimal places)