s, wite down all pos- (Example 2 and Figure 18.1 may bability that the sum of th
ID: 3074150 • Letter: S
Question
s, wite down all pos- (Example 2 and Figure 18.1 may bability that the sum of the down-faces is the TL0 help te. A roulette wheel has 38 slots, numbered 0, 00, and 1 to o. lbe slots 0 and 00 are colored green, 18 of the others are red, and 18 The slots 0 and colored the wheel and at the same time rolls a small ball a and 1 to 36. pins The dealer spins e wheel in are black. long the the opposite direction. The wheel is carefully balanced so that the ball lly likely to land in any slot when the wheel slows. Gamblers can bet on is equally combinations of numbers and colors t is the probability of any one of the 38 possible outcomes? Explain your answer b) If you bet on "red," ability of winning? e The slot numbers are laid out on a board on which gamblers place their bets. One column of numbers on the board contains all multiples of 3, that is, 3,6,9, .,36. You place a "column bet" that wins if any of these numbers comes up. What is your probability of winning? you win if the ball lands in a red slot. What is the prob-Explanation / Answer
(a)
There are 38 possible outcomes. As mentioned, the ball is equally likely to land in any slot, so the probability of any of the 38 possible outcomes is 1/38
(b)
0 and 00 are green, 18 slots are red and rest 18 are green.
Probability of winning if I chose red slot = Number of red slots / Total number of slots = 18 / 38 = 0.4737
(c)
Probability of winning = # (3,6,9....36) / 38
#(3,6,9,...38) = No. of numbers in "column bet"
#(3,6,9,...36) = 12
Probability of winning = 12/38 = 0.3158
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