Question 1130287: The probability that a student has a Visa card (event V) is .68. The probability that a student has a MasterCard (event M) is .21. The probability that a student has both cards is .03.
(a) Find the probability that a student has either a Visa card or a MasterCard. (Round your answer to 2 decimal places.)
Probability
(b) In this problem, are V and M independent?
Yes
No
Answer by ikleyn(52878)   (Show Source):
You can put this solution on YOUR website! .
(a) According to the general formula of the Probability theory,
P(V U M) = P(V) + P(M) - P(V & M) = 0.68 + 0.21 - 0.03 = 0.86. ANSWER
(b) According to the general definition of the Probability theory, the events V and M are independent IF AND ONLY IF
P(V & M) = P(V) * P(M).
In our case IT IS NOT SO ==============> therefore, the events V and M are NOT INDEPENDENT.
Solved, answered, explained and completed.
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