Yoav invests every morning in the stock he sells at
the end of the day. From his past investment analysis it is known
that
Every day he buys with a probability of 4.0 shares from the
pharmaceutical industry and with a probability of 6.0 he buys a
share from an industry
The construction.
In the stock of the pharmaceutical industry - the probability of
winning is 6.0, the probability of losing is 2.0 and otherwise it
is Horizontal.
In a stock from the construction industry - the probability of
winning is 5.0, the probability of losing is 1.0 and otherwise it
is
Horizontal.
Assume that the investment results on different days are
independent.
a. What is the probability that on a certain day Yoav will gain?
b. It is known that on a certain day Yoav did not
lose. What is the probability that a stock bought from the
pharmaceutical industry
at this day?
c. Choose six random days. It turned out that in all
of them, Yoav invested in shares of the construction
industry.
What is the probability that in exactly two days he won, in one day
he lost and in the other he was
Horizontal?
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