Question

During a survey conducted on teenagers, the probability that a teenager owns a laptop is 0.70. The probability that a teenager owns a small business is 0.40. If a teenager is selected at random, what is the probability that h(e)/(s)he owns a laptop and a business?

Answer 1

Assuming independence, the probability that a teenager owns both a laptop and a business is 0.28 or 28%.

Step-by-step explanation:

To calculate the probability that a teenager owns both a laptop and a small business, additional information about the relationship between owning a laptop and owning a business is required. If the two events are independent, you would multiply the probabilities of each event occurring separately. However, if there is a dependence or if additional information is provided, such as the joint probability or additional conditional probabilities, then the calculation may differ.

Assuming independence (without further information provided), you would calculate:

Probability(Teen owns both a laptop and a business) = Probability(Teen owns a laptop) * Probability(Teen owns a business)

Probability(Teen owns both a laptop and a business) = 0.70 * 0.40

Probability(Teen owns both a laptop and a business) = 0.28

Therefore, if the events are independent, there is a 28% chance that a teenager chosen at random owns both a laptop and a small business.