SOLUTION: 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

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(52795) (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.

RELATED QUESTIONS
Confused...Please Help! The probability that a student has a Visa card (event V) is... (answered by stanbon)

The probability that a student has a Visa card (event V) is .65. The probability that a... (answered by MathLover1)

Let S be the event that a randomly selected college student has taken a statistics... (answered by stanbon)

The probability of a student scoring 75% in class work is 0.64, and the probability of a... (answered by robertb)

the probability that event A happens is 3/4? what are the odds event A... (answered by ewatrrr)

There are 1000 students in a high school. Among the 1000 students, 800 students have a... (answered by ikleyn)

A probability experiment consist of two possible outcomes: Event A and Event B. Event A... (answered by jim_thompson5910,stanbon)

Probability that a student owns a credit card is 0.43. Probability that a student is a... (answered by ikleyn)

There are 1000 juniors in a college. Among the 1000 juniors, 500 students are taking... (answered by richwmiller)