A taste test asks people from Texas and California which pasta they preferred brand a or brand b this table shows the results. A
person is randomly selected for those tested. What is the probability that the person is from Texas given that the person prefers Brand b? Round your answer to two decimal places.
2 answers:
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Answer:
a) The probability that a student has either a Visa card or a MasterCard is 0.71.
b) V and M are not independent.
Step-by-step explanation:
Given : The probability that a student has a Visa card (event V) is 0.63. The probability that a student has a MasterCard (event M) is 0.11. The probability that a student has both cards is 0.03.
To find :
a) The probability that a student has either a Visa card or a MasterCard ?
b) In this problem, are V and M independent ?
Solution :
The probability that a student has a visa card(event V) is P(V)= 0.63
The probability that a student has a MasterCard (event M) is P(M)= 0.11
The probability that a student has both cards is
a) Probability that a student has either a Visa card or a Master Card is given by,
The probability that a student has either a Visa card or a MasterCard is 0.71.
b) Two events, A and B, are independent if
For V and M to be independent the condition is satisfied,
Substitute the values,
So, V and M are not independent.