Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

n a certain game of chance, a wheel consists of 44 slots numbered 00, 0, 1,2,..,

ID: 3366395 • Letter: N

Question

n a certain game of chance, a wheel consists of 44 slots numbered 00, 0, 1,2,.., 42. To play the game, a metal ball is spun around the wheel and is allowed to fall into one of the numbered slots. Complete parts (a) through (c) below (a) Determine the sample space. Choose the correct answer below A. The sample space is (00, 0, 1, 2... 42). B. The sa mple space iS C. The sample space is (00 0 . (b) Determine the probability that the metal ball falls into the slot marked 4. Interpret this probability. The probability that the metal ball falls into the slot marked 4 is The sample space is (00, 0) (Round to four decimal places as needed.)

Explanation / Answer

In a certain game of chance, a wheel contains of 44 slots numbered, 00, 0, 1, 2, ....., 42

a) The sample space is { 00, 0, 1, 2, ....., 42}

b) there is only one slot marked with 4. Therefore, the probability that the metal ball falls into the slot marked 4 is, 1/44 = 0.0909

Since this probability is greater than 0.05 it is usual to say that metal ball can fall into the slot marked 4.