The table shows the probabilities that a biased dice will land on 1, on 2, on 3, on 4, on 5and on 6Number on dice 1 2 3 4 5 6Probability 0.06 0.15 0.32 0.1 0.24 0.13Sven rolls the biased dice 400 times.Work out an estimate for the number of times the dice will land on 2 or on 5......................................................(Total for Question 6 is 2 marks)
Question
The table shows the probabilities that a biased dice will land on 1, on 2, on 3, on 4, on 5and on 6Number on dice 1 2 3 4 5 6Probability 0.06 0.15 0.32 0.1 0.24 0.13Sven rolls the biased dice 400 times.Work out an estimate for the number of times the dice will land on 2 or on 5......................................................(Total for Question 6 is 2 marks)
Solution
To estimate the number of times the dice will land on 2 or 5, you need to add the probabilities of landing on 2 and 5, and then multiply by the total number of rolls.
The probability of landing on 2 is 0.15 and the probability of landing on 5 is 0.24.
So, the total probability of landing on 2 or 5 is 0.15 + 0.24 = 0.39.
Sven rolls the dice 400 times.
Therefore, the estimated number of times the dice will land on 2 or 5 is 0.39 * 400 = 156 times.
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