Question

5. Shoes. Anne and Jane have shoes spread throughout the dorm room. Anne has 15 pairs of shoes; twenty percent of her shoe collection consists of sandals. Jane has 40 pairs of shoes, ten percent of her shoe collection consists of sandals. (a.) A shoe is picked at random from the dorm room belonging to Anne and Jane; what is the probability that it is a sandal? (b.) If a randomly-chosen shoe is chosen from the room (with all shoes equally likely to be chosen), what is the probability that it belongs to Anne? en be lo d X whe +b and-4 EOnd Var) w wi (c.) If a randomly-chosen shoe is chosen from the room (with all shoes equally likely to be chosen), and upon examination this shoe is seen to be a sandal, what is the probability that it belongs to Anne?

Answer 1

Q5. det A & J denote the event that shoe belongs to Anne & Jane respectively. det sº. Shoe is a sandal Þ (SA) = 0.20, Þ(S/5) = 0.10, Þ(A) = 15, $(J)=405 @P(S) = PSA) P(A)+ P(5/3) P(J) = 0.2 x 135 +0xuntos 0.1273 ® B(A) = y 19.40 = 15 = 361 -10.2727] © P(A/s): P(ANS), H(a) P(A). 0.2*1865 -10.4286 - P(5) - (s 0.2*15+ Olx 7