Question

The state lottery board is examining the machine that randomly picks the lottery numbers. On each trial, the machine outputs a ball with one of the digits 0 through 9 on it. (The ball is then replaced in the machine.) The lottery board tested the machine for 1000 trials and got the following results:
Outcome 0 1 2 3 4 5 6 7 8 9
Number of Trials 4 2 5 3 2 6 6 3 6 3

Required:
a. From these results, compute the experimental probability of getting an odd number.
b. Assuming that the machine is fair, compute the theoretical probability of getting an odd number.

Answer 1

Answer:

0.425

0.5

Step-by-step explanation:

Given :

Outcome 0 1 2 3 4 5 6 7 8 9

Number of Trials 4 2 5 3 2 6 6 3 6 3

The experimental probability of obtaining an odd number :

Odd outcomes are : 1, 3, 5, 7, 9

Total number of trials = Σ(4 2 5 3 2 6 6 3 6 3) = 40

Total number of odd outcomes = (2+3+6+3+3) = 17

Experimental probability = number of prefferwd outcomes / total number of trials

Experimental P(odd). = 17 / 40 = 0.425

The theoretical probability of getting an odd number :

Required outcome / Total possible outcomes

Number of odd values / total number of values

5 / 10 = 1/2