Two number cubes rolled 150 times.Estimate how often the following occured:
A sum less than 4 appeared 15 times.
A sum of 7 appeared 11 times.
A sum of 6 or greater appeared 85 times.
whats the divisibility rule for 90
1/12
To estimate how often the given events occurred, we need to use experimental probability.
1. A sum less than 4 appeared 15 times.
To find the probability of rolling a sum less than 4, we need to determine how many possible outcomes satisfy this condition and divide it by the total number of outcomes. In this case, the possible outcomes are (1, 1), (1, 2), (2, 1), and (2, 2), which give a sum of less than 4. So there are 4 possible outcomes. Since the experiment was conducted 150 times, the estimated probability of rolling a sum less than 4 is 15/150 or 0.1.
2. A sum of 7 appeared 11 times.
To find the probability of rolling a sum of 7, we need to determine how many possible outcomes satisfy this condition and divide it by the total number of outcomes. In this case, the possible outcomes are (1, 6), (2, 5), (3, 4), (4, 3), (5, 2), and (6, 1), which give a sum of 7. So there are 6 possible outcomes. Since the experiment was conducted 150 times, the estimated probability of rolling a sum of 7 is 11/150 or 0.0733.
3. A sum of 6 or greater appeared 85 times.
To find the probability of rolling a sum of 6 or greater, we need to determine how many possible outcomes satisfy this condition and divide it by the total number of outcomes. In this case, the possible outcomes are (1, 5), (1, 6), (2, 4), (2, 5), (2, 6), (3, 3), (3, 4), (3, 5), (3, 6), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6), (5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6), (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), and (6, 6), which give a sum of 6 or greater. So there are 26 possible outcomes. Since the experiment was conducted 150 times, the estimated probability of rolling a sum of 6 or greater is 85/150 or 0.5667.