1. A box contains red and blue marbles; there are fewer red marbles than blue ones. Marbles are drawn one at a time from the box at random with replacement. you win a dollar if a red one is drawn more often than a blue one there are two choices (a) 100 draw are made from the box (b) 400 draws are made from the box

Choose one of the options below and explain your answer:

(i) A gives you a better chance of winning

(ii) B gives a better chance of winning

(iii) A and B give the same chance of winning

(iv) Can't tell without more information

(a) A fair coin is tossed and you win a dollar if there are fewer than 55% heads. which is better: 100 tosses or 1000 tosses? explain.

(b) As in (a), but you win the dollar if there are fewer than 45% heads.

(c) As in (a), but you win the dollar if there are between 45% and 55% heads.

(d) As in (a), but you win the dollar if there are exactly 50% heads.