An investment analyst collects data on stocks and notes whether or not dividends were paid and whether or not the stocks increased in price over a given period.

Data are presented in the following table.

a. If a stock is selected at random out of the analyst's list of 246 stocks, what is the probability that it increased in price?
b. If a stock is selected at random, what is the probability that it paid dividends?
c. If a stock is randomly selected, what is the probability that it both increased in price and paid dividends?
d. What is the probability that a randomly selected stock neither paid dividends nor increased in price?
e. Given that a stock increased in price, what is the probability that it also paid dividends?
f. If a stock is known not to have paid dividends, what is the probability that it increased in price?
g. What is the probability that a randomly selected stock was worth holding during the period in question; that is, what is the probability that it increased in price or paid dividends or did both?

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No Price Increase 78 49 127 Price Increase 34 Dividends paid No dividends paid85 Total Total 112 134 246 119