Respuesta :
Answer:
0.25 is the required probability.
Step-by-step explanation:
We are given the following in the question:
Probability that like book 1 = 0.6
[tex]P(1) = 0.6[/tex]
Probability that like book 2 = 0.5
[tex]P(2) = 0.5[/tex]
Probability that Maria likes both the books = 0.4
[tex]P(1\cap 2) = 0.4[/tex]
We have to find the conditional probability that she will like book 2 given that she did not like book 1.
Thus, we have to evaluate:
[tex]P(2|1') = \dfrac{P(2\cap 1')}{P(1')} = \dfrac{P(2)-P(1\cap 2)}{1-P(1)}\\\\P(2|1') =\dfrac{0.5-0.4}{1-0.6} = 0.25[/tex]
0.25 is the conditional probability that Maria will like book 2 given that she did not like book 1.
