Question

The game of craps is played as follows: a player rolls two dice. If the sum is 2, 3, or 12, the player loses; if the sum is either a 7 or an 11, the player wins. If the outcome is anything else, the player continues to roll the dice until he rolls either the initial outcome or a 7. If the 7 comes first the player loses, whereas if the initial outcome reoccurs before the 7 appears, the player wins. Compute the probability of a player winning at craps.

Name: the game of craps is played as follows a player rolls two dice if the sum is 2 3 or 12 the player loses if the sum is either a 7 or an 11 the player wins if the outcome is anything else the 15116
Uploaded: 2024-04-13T07:40:20-08:00
Duration: 1 min 19 s
Channel: Adi S
Description: the game of craps is played as follows a player rolls two dice if the sum is 2 3 or 12 the player loses if the sum is either a 7 or an 11 the player wins if the outcome is anything else the 15116

          The game of craps is played as follows: a player rolls two dice. If the sum is 2, 3, or 12, the player loses; if the sum is either a 7 or an 11, the player wins. If the outcome is anything else, the player continues to roll the dice until he rolls either the initial outcome or a 7. If the 7 comes first the player loses, whereas if the initial outcome reoccurs before the 7 appears, the player wins. Compute the probability of a player winning at craps.

Added by Lindsey S.

Probability with Applications in Engineering, Science, and Technology

Matthew A. Carlton • Jay L. Devore 2nd Edition

Instant Answer

Solved by Expert Adi S

04/13/2024

Step 1

There are 6 possible outcomes for each die, so there are a total of 6 * 6 = 36 possible outcomes for the two dice. The winning outcomes on the first roll are when the sum is 7 or 11. There are 6 ways to get a sum of 7 (1+6, 2+5, 3+4, 4+3, 5+2, 6+1) and 2 ways to Show more…

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The game of craps is played as follows: a player rolls two dice. If the sum is 2, 3, or 12, the player loses; if the sum is either a 7 or an 11, the player wins. If the outcome is anything else, the player continues to roll the dice until he rolls either the initial outcome or a 7. If the 7 comes first the player loses, whereas if the initial outcome reoccurs before the 7 appears, the player wins. Compute the probability of a player winning at craps.