Question

In a recent survey of Washingtonians, 31% indicated that they were in support of a new "mileage tax" for electric cars, 64% were against the tax, and 5% were undecided. What is the probability that two randomly chosen people from this survey would both be against the tax

Give your answer as a decimal (to at least 4 places)

Answer 1

The probability that two randomly chosen people from the survey would both be against the tax is 0.4096.

Step-by-step explanation:

To find the probability that two randomly chosen people from the survey would both be against the tax, we need to multiply the probability of the first person being against the tax by the probability of the second person being against the tax.

The probability of the first person being against the tax is 64%.

Since the first person's choice doesn't affect the second person's choice, the probability of the second person being against the tax is also 64%.

Therefore, the probability that two randomly chosen people from the survey would both be against the tax is 0.64 * 0.64 = 0.4096.