SOLUTION: Please help me solve this question: Consider a shopper will choose either brand A or brand B. On each purchase, the probability that he will choose the same brand that he chose on
Algebra ->
Probability-and-statistics
-> SOLUTION: Please help me solve this question: Consider a shopper will choose either brand A or brand B. On each purchase, the probability that he will choose the same brand that he chose on
Log On
Question 1186850: Please help me solve this question: Consider a shopper will choose either brand A or brand B. On each purchase, the probability that he will choose the same brand that he chose on his last preceding purchase is 1/3, and the probability that he will switch brands is 2/3. Suppose that on his first purchase the probability that he will choose brand A is 1/4 and the probability that he will choose brand B is 3/4. What is the probability that his second purchase will be brand B? Answer by ikleyn(52803) (Show Source):
You can put this solution on YOUR website! .
Please help me solve this question:
Consider a shopper will choose either brand A or brand B.
On each purchase, the probability that he will choose the same brand that he chose on his last preceding purchase is 1/3,
and the probability that he will switch brands is 2/3.
Suppose that on his first purchase the probability that he will choose brand A is 1/4
and the probability that he will choose brand B is 3/4.
What is the probability that his second purchase will be brand B?
~~~~~~~~~~~~
The key step is to understand and to write this logical expression
P(second purchase is brand B) = P(1st purchase is brand A)*P(for 2-nd purchase switch from A to B) +
+ P(1-st purchase is brand B)*P(for 2-nd purchase choose B again).
As soon as you understand it, you substitute the given values into the expression and calculate
P(second purchase is brand B) = + = + = = . ANSWER
