Question

1. fill in the blank 1 point

playing the game of roulette, where the wheel consists of slots numbered 00, 0, 1, 2...36. to play the game, a metal ball is spun around the wheel and is allowed to fall into one of the numbered slots.
there are type your answer... outcomes in the sample space. (type the number only, no spaces)

1. fill in the blank 1 point

consider a company that selects employees for random drug tests. the company uses a computer to randomly select employee numbers that range from 1 to 5949.
how many whole numbers are less than 1000? type your answer...
find the probability of selecting a number less than 1000. type your answer... (round to the nearest thousandth)
how many whole numbers are greater than 1000? type your answer...
find the probability of selecting a number greater than 1000. type your answer... (round to the nearest thousandth)

Explanation:

Step1: Calculate sample - space size for roulette

The roulette wheel has slots numbered 00, 0, 1, 2, …, 36. Counting 00, 0 and numbers from 1 to 36, the number of outcomes in the sample space is \(2 + 36=38\).

Step2: Calculate whole - numbers less than 1000

The whole numbers start from 0. The whole numbers less than 1000 are 0, 1, 2, …, 999. So there are 1000 whole numbers less than 1000.

Step3: Calculate probability of selecting a number less than 1000

The company selects numbers from 1 to 5949. The probability \(P\) of selecting a number less than 1000 is \(\frac{999}{5949}\approx0.168\) (since we start from 1, so there are 999 numbers in the range 1 - 999 out of 5949).

Step4: Calculate whole - numbers greater than 1000

The total numbers are from 1 to 5949. The number of whole numbers greater than 1000 is \(5949 - 999=4950\).

Step5: Calculate probability of selecting a number greater than 1000

The probability \(P\) of selecting a number greater than 1000 is \(\frac{4950}{5949}\approx0.832\).

Answer:

1. 38
2. 1000
3. 0.168
4. 4950
5. 0.832