The following chart shows people's favorite way to spend their spare time.PlayingReading Watch TVSportsMaleFemale26255111411823222. What is the sample size?51523. What is the probability that they prefer to watch TV?1191132322592565150.4505dec4. What is the probability that they are male or prefer to play sports?25. What is the probability that the student is male given they prefer playing sports?26. What is the probability that they prefer playing sports given they are male?de

ReadingWatch TVPlaying SportsTotalMale26114119259Female25118113256Total51232232515The sample size is 515The probability that they prefer to watch TV is===0.45048543690.4505The probability that they prefer to watch TV is 0.4505The probability that they are male or prefer to play sports is =P(they or male OR prefer to play sports)=P(male)+P(prefer to play sports)-P(male AND prefer to play sports)===0.72233009710.7223The probability that they are male or prefer to play sports is 0.7223The probability that the student is male GIVEN they prefer playing sports is =P(student is male | prefer playing sports)====0.51293103450.5129The probability that the student is male GIVEN they prefer playing sports is 0.5129The probability that they prefer playing sports GIVEN they are male is=P(prefer playing sports | they are male)=====0.45945945950.4595The probability that they prefer playing sports GIVEN they are male is 0.459522)The sample size is 51523)The probability that they prefer to watch TV is 0.450524)The probability that they are male or prefer to play sports is 0.722325)The probability that the student is male GIVEN they prefer playing sports is 0.512926)The probability that they prefer playing sports GIVEN they are male is 0.4595