Question

Assume your game piece in monopoly is on North Carolina ave and that there are hotels on park place and broadway. What are the odds you roll a pair of dice and land on these?

Answer 1

Answer:

9 out of 11

Step-by-step explanation:

When rolling the dice, there are 11 numbers you can roll, 2 through 12.

On North Carolina Avenue, you have to roll a 5 for Park Place and a 7 for Boardwalk(Broadway).

Subtract these 2 numbers from the total numbers you can roll, which you with the 9 out of 11.

Answer 2

There is a 0.00856% chance of reaching Boardwak and a 0.00428% chance of reaching Park Place.

Assuming your game piece in monopoly is on North Carolina Ave and that there are hotels on Park Place and Boardwalk, to determine what are the odds you roll a pair of dice and land on these, you must contemplate the rules of the game and perform the following calculation:

• First, Park Place is 35 lockers from North Carolina Ave, while Boardwalk is 33 lockers.
• Then, it must be considered that 2 dice are thrown, whose maximum number in the sum is 12, but that in case of throwing two equal dice, the dice can be rolled again. Even if double numbers are rolled again, it can be thrown one more time (if double is rolled again, the player goes to jail).
• Thus, a player has a probability of 1/36 (6 x 6 = 36) of rolling a 12, which is the maximum number that will allow him to advance 33 or 35 squares (10 + 12 + 12 and 10 + 10 +12 what they will send to jail without achieving the objective).

Therefore, the probability of reaching 33 and 35 boxes is equal to the following multiplications:

• 33 = 1/36 (12) x 1/36 (12) x 4/36 (9) = 0.02777 x 0.02777 x 0.111 = 0.0000856001919 x 100 = 0.00856%
• 35 = 1/36 (12) x 1/36 (12) x 2/36 (11) = 0.02777 x 0.02777 x 0.0555 = 0.00004280009595 x 100 = 0.00428%

Therefore, there is a 0.00856% chance of reaching Boardwak and a 0.00428% chance of reaching Park Place.

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