Answer :
Answer:
The probability that a student has either a Visa card or a MasterCard is 0.84.
Step-by-step explanation:
Given : The probability that a student has a Visa card (event V) is 0.73. The probability that a student has a MasterCard (event M) is 0.14. The probability that a student has both cards is 0.03.
To find : The probability that a student has either a Visa card or a MasterCard ?
Solution :
The probability that a student has a visa card(event V) is P(V)= 0.73
The probability that a student has a MasterCard (event M) is P(M)= 0.14
The probability that a student has both cards is [tex]P(V \cap M)=0.03[/tex]
Probability that a student has either a Visa card or a Master Card is given by,
[tex]P(V \cup M) = P(V) + P(M) - P(V\cap M)[/tex]
[tex]P(V \cup M) = 0.73+ 0.14- 0.03[/tex]
[tex]P(V \cup M) =0.87- 0.03[/tex]
[tex]P(V \cup M) =0.84[/tex]
Therefore, the probability that a student has either a Visa card or a MasterCard is 0.84.