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Example 3 A basket contains 10 red balls and 4 white balls. If three balls are taken from the basket one after the other, determine the possible values of the random variable R representing the number of red balls. Solution: Steps Solution 1. List the sample space S - (RRR, RRW, RWR, WRR, WWR, WRW, RWW, WWW} 2. Count the number of red balls in each outcome and Outcome Number of Red balls assign this number to this (Value of R) outcome. RRR 3 RRW 2 RWR 2 WRR 2 WWR 1 WRW RWW www 0 3. Conclusion The values of the random variable R (number of red balls) in this experiment are 0, 1, 2, and 3. What's More Direction: Complete the table below by constructing and illustrating the probability distribution of Example 3 (refer to page 7). Steps Solution 1. List the sample space 2. Count the number of tails in each outcome and assign this number to this outcome. 3. Construct the frequency distribution of the values of the given random variable. 4. Construct the probability distribution of the given random variable by getting the probability of occurrence of each value of the random variable. 5. Construct the probability histogram