Your answer book says that the probability of drawing a B ball from box 1 (below) is the same as for box 2.
Box 1 BBW
Box 2 BBBBBBWWW

A child says, "They say 2 to 1 gives the same probability as 6 to 3 does, but I don't see it. I think box 2 has a lot more chances of giving a B ball."
How would you try to convince the child that 2:1 is indeed equal to 6:3, using the balls in the boxes (not just symbolically with numbers)?

Question

Your answer book says that the probability of drawing a B ball from box 1 (below) is the same as for box 2.
Box 1 BBW
Box 2 BBBBBBWWW

A child says, "They say 2 to 1 gives the same probability as 6 to 3 does, but I don't see it. I think box 2 has a lot more chances of giving a B ball."
How would you try to convince the child that 2:1 is indeed equal to 6:3, using the balls in the boxes (not just symbolically with numbers)?

Quizplus · Accepted Answer

The Answer of Your answer book says that the probability of drawing a B ball from box 1 (below) is the same as for box 2.
Box 1 BBW
Box 2 BBBBBBWWW

A child says, "They say 2 to 1 gives the same probability as 6 to 3 does, but I don't see it. I think box 2 has a lot more chances of giving a B ball."
How would you try to convince the child that 2:1 is indeed equal to 6:3, using the balls in the boxes (not just symbolically with numbers)?

Your Answer Book Says That the Probability of Drawing a B