Question

Yoav invests every morning in the stock he sells at the end of the day. From...

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?

Math   Statistics-And-Probability   
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