the probability that a student has a Visa card (event V) is .65 The probability that a student has a mastercard (event M) is .20. The probability that a student has both cards is .13. What is the probability that a student has either a Visa or Mastercard?

Respuesta :

The probability that a student has either a vise card or a master card is: 0.72

Step-by-step explanation:

Given that

Probability that a student has a vise card = P(V) = 0.65

Probability that a student has a master card = P(M) = 0.20

Probability that a student has both = P(V∩M) = 0.13

We have to find the probability of V OR M

The probability is given by:

[tex]P(V\ or\ M) = P(V) + P(M) - P(V\ and\ M)[/tex]

Putting the values,

[tex]P(V\ or\ M) = 0.65+0.20-0.13\\P(V\ or\ M) = 0.72[/tex]

Hence,

The probability that a student has either a vise card or a master card is: 0.72

Keywords: Probability, Events

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