Five students want to play dodgeball and they all want to be a team captain. To be fair, the gym coach decides to place the names of all five students into a hat, mix well, and select two names at random without replacement. The names chosen will be the team captains. Each outcome in the sample space for the random selection of two team captains is equally likely. What is the probability of each outcome in the sample space?1/251/201/101/5 Five students want to play dodgeball and they all want to be a team captain. To be fair, the gym coach decides toplace the names of all five students into a hat, mix well, and select two names at random without replacement. Thenames chosen will be the team captains. Each outcome in the sample space for the random selection of two teamcaptains is equally likely. What is the probability of each outcome in the sample space?2520110Mark this and returnSave and ExitNextSubmit

We have given that 5 students who want to play dodgeball and also want to be team captain.Solution: The gym coach choose 2 students out of 5 then the number of ways = 5C2 = 10 Each outcome in the sample space for the random selection of two team captains is equally likely. P( each outcome in sample space ) = 2/10 = 1/5 Hence, Option last 1/5 is the correct choice.