Question

A biased dice is rolled and the results are recorded in a table

the dice is rolled once more

Use the table to estimate the probability that a 3 will be rolled


if the dice is rolled another 500 times,

how many sixes would you except to roll?

Answer 1

Answer:60

Step-by-step explanation:

Answer 2

Using the principle of exponential probability, the estimated probabilities of the events are :

• P(3) = 0. 125
• P(6 in 500 rolls) = 68 rolls

The experimental probability is defined thus :

• Number of times event occur / number of trials

Number of trials = sum of frequency:

• (12+35+11+23+7+12) = 88

The Probability of obtaining a 3:

P(3) = number of 3's / number of trials

P(3) = 11/88 = 0.125

2.) Number of 6's possible in 500 rolls :

P(6) = (12 /88) × 500

P(6) = 68.18 = 68

Therefore, the expected number of 6's roll is 68.

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