Question

A school baseball team has 65 players. What is the probability that a randomly chosen player is a junior or a right handed batter?

Answer 1

`Probability = (51)/(65)`

Explanation:

Given (Missing from the question)

`\begin{array}{ccccc}{} & {Freshman} & {Sophomore} & {Junior} & {Senior} &{Left-handed batters} & {4} & {6} & {5} & {4} & {Right-handed batters} & {13} & {10} & {11} & {12}\ \end{array}`

`Total = 65`

Required

Determine the probability of selecting a junior or right handed batter

From the table above:

`R=13 + 10 + 11 + 12 =46` ---- Right handed

`J = 5 + 11 = 16` --- Junior

`R\ and\ J = 11` ---- Right handed and Junior

The probability of right handed player of junior player being selected is:

`Probability = P(R) + P(J) - P(R\ and\ J)`

`Probability = (n(R) + n(J) - n(R\ and\ J))/(Total)`

`Probability = (46+16-11)/(65)`

`Probability = (51)/(65)`