Respuesta :
Answer:-
0.181818
Solution:-
By the problem, it is given that 20% of the coustomers of a store buy cigars.Half of the customers who buy cigars buy beer.About 45% buy beer.
A customer is known to not buy beer.Need to find the probability that this customer will buy cigar.
The table for necessary calculation-
Beer No beer Total
Cigar 0.10 0.10 0.20
No cigar 0.35 0.45 0.80
Total 0.45 0.55 1
Need to find the probability -
P[The customer will buy cigar | The customer is known to not buy beer]
Using the Theorem of conditional probability,
=0.10/0.55
=0.181818
Hence, the required probability is 0.181818.
