Suppose there are three distinct jars Jar 1 eontaim-i two red balls, and four green balls. Jar 2 contains three red balls, and three gram balls. Jar 3 eontains four red balls, and two green balls. The balls in eaeh jar are mixrxl thoroughly. This {hamiptien is the starting point for every question below. {a} [1.5 pt Suppose that one ball is mleetetl at ranriem from Jar 1. What is the probability that the chasm ball is red? [b] [1.5 pt guppmie that one ball is drawn from Jar 1, and a meonrl ball is drawn from Jar 2. What is the probability that the two balls are gretm? {e} 1 pt Suppose that a ball is drawn from every jar. What is the probability.r that exactly one ball out of three is red, and the other two balls are green? [ti] 1 pt Again, [Imsi-tler the situation where one ball is drawn limm every jar. after this drawing, (warmly one ball is red and tree balls are green. What is the pmbability that the red hall eame EreIn Jar 1. {e} 1 pt Censithx the following random experiment. First, one jar E selected at rantlrnn, with the three jars being [Klually likely. Then, two balls are drawn from the chosen jar Twithout replamment. Lt the two balls are green, what is the conditional probability that there: were drawn from Jar 1? {f} 1 pt Again, eensitler the following random experiment. First, one jar is mleeted at rantlrnn, with the three jars being equally likely. Then, two balls are drawn from this jar Twithout replamment. 1f the rst ball is green, what is the muniitional probability that the seeonrl ball is green