e. On a single roll of two number cubes, are rolling a sum of 6 and rolling doubles mutually exclusive events? The are not mutually exclusive because rolling ( 3 ,3 ) satisfies both events. f. On a single roll of two number cubes, what is the probability of rolling doubles given that the sum is 6? Hint: Use P( AIB) = Pi A and B) = ( ) ( 2 S P(B) 36 = 30 180 g. On a single roll of two number cubes, are rolling a sum of 6 and rolling doubles independent events? Explain. A = Rolling a sum of 6 PLA) = 36 = S P(3 ) = =) PCAnB)+ 13 - Rolling Doubles P(A) XP (B ) = =2 S 56+ 7 - 216 PCA) X P(B ) PLAN B ) = PCA)XP (B ) AnB = the outcome ( 3, 3 ) and are AGRAMS AND FORMULAS PLANB) = 36 NOT Independent Annie and her friends started a club. The Venn diagram shows information about the 16 members of the club