An ice cream shop has two cartons of ice cream one vanilla a

An ice cream shop has two cartons of ice cream one vanilla and one chocolate. If you get one scoop chosen from the cartons at random, what is the like hood that they will be chocolate and vanilla? a 1/8 b 1/4 c 1/2 d 2/3

Solution

Total number of possibilities = { (first scoop is vanilla and second scoop is also vanilla),

                                              (first scoop is vanilla and second scoop is chocolate),

                                              (first scoop is chocolate and second scoop is vanilla),

                                              (first scoop is chocolate and second scoop is also chocolate)}

                       Exhaustative case (n) = 4

Let E denote getting one scoop is vanilla and another scoop is chocolate.

        E = [ (first scoop is vanilla and second scoop is chocolate), (first scoop is chocolate and second scoop is vanilla)}

                     Favourable case m = 2

P(E) = 2/4 = 1/2