A box contains 100 balls, of which 15% are green, 40% are red, and 45% are...

A box contains 100 balls, of which 15% are green, 40% are red, and 45% are spotted.

Use simulation to find the probability that if you randomly draw a ball you get a Red Ball.

Use the following 20 randomly generated numbers: 97, 52, 61, 87, 07, 48, 73, 49, 23, 75, 18, 15, 70, 34, 67, 40, 48, 98, 49, 70

Solutions

Expert Solution

Draw a cumulative probability distribution table

Ball color	Probability	Cumulative probability
Green	0.15	0.15
Red	0.40	0.55
Spotted	0.45	1.00

The random number range is cumulative probability multiplied by 100

If the given random number lies within the random number range as determined in cumulative probability table, then you get the ball of that color.

For example, number 97 is in the range of 55 onwards to 100, so you get a spotted ball.

For 52 you get a red ball, for 61 spotted, for 87 spotted, for 07 green and so on..

The simulation table is following

Random number	ball
97	Spotted
52	Red
61	Spotted
87	Spotted
07	Green
48	Red
73	Spotted
49	Red
23	Red
75	Spotted
18	Red
15	Green
70	Spotted
34	Red
67	Spotted
40	Red
48	Red
98	Spotted
49	Red
70	Spotted

Probability of getting a red ball = count of red in the above table /20 = 9/20 = 45%

keosha answered 1 year ago

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