Dear friends,
I am stuck at the following probability problem. Will appreciate your help.
Two opera singers, Mario and Clarissa both performon the same night, in separate recitals. The independent probabilities that two newspapers X and Y publish reviews of their recitals are given below:
Probability of review in newspaper X
====================================
Mario's recital - 1/2
Clarissa's recital - 2/3
Probability of review in newspaper Y
================================ ====
Mario's recital - 1/4
Clarissa's recital - 2/5
Mario buys oneof the newspapers at random. What is the probability that it has reviewed "both" recitals?
I did this way: P(reviewed both recitals) = P(buys paper X)*P(X reviews Mario)*P(X reviews Clarissa) = (1/2)*(1/2)*(2/3)= 1/6
But 1/6 is not the correct answer. Let me know where I am wrong andwhy.
Thanks in advance.
I am stuck at the following probability problem. Will appreciate your help.
Two opera singers, Mario and Clarissa both performon the same night, in separate recitals. The independent probabilities that two newspapers X and Y publish reviews of their recitals are given below:
Probability of review in newspaper X
====================================
Mario's recital - 1/2
Clarissa's recital - 2/3
Probability of review in newspaper Y
================================ ====
Mario's recital - 1/4
Clarissa's recital - 2/5
Mario buys oneof the newspapers at random. What is the probability that it has reviewed "both" recitals?
I did this way: P(reviewed both recitals) = P(buys paper X)*P(X reviews Mario)*P(X reviews Clarissa) = (1/2)*(1/2)*(2/3)= 1/6
But 1/6 is not the correct answer. Let me know where I am wrong andwhy.
Thanks in advance.