In $40$ of the $60$ years from $1946$ through $2005$ a certain stock market finished higher after the first week of trading. In $34$ of

those $40$ years, this market finished higher for the year. The following table gives the first$-$week and annual performance of

the market over this $60-$year period. Use the table to answer $($a$)$ through $($c$)$ below.

a$.$ If a year is selected at random, what is the probability that the market finished higher for the year? Round to $4$ decimal

places.

Question $16$

In $40$ of the $60$ years from $1946$ through $2005$ a certain stock market finished higher after the first week of trading. In $34$ of

those $40$ years, this market finished higher for the year. The following table gives the first$-$week and annual performance of

the market over this $60-$year period. Use the table to answer $($a$)$ through $($c$)$ below.

b$.$ Given that the market finished higher after the first week of trading, what is the probability that it finished higher for the

year? Round to $2$ decimal places.