Christopher rolled 3 dice and counted the number of triples he got. If he conducted 32 trials and rolled 0 triples, how many triples should he expect if he rolls the dice 300 times? Round to the nearest unit.
Question
Christopher rolled 3 dice and counted the number of triples he got. If he conducted 32 trials and rolled 0 triples, how many triples should he expect if he rolls the dice 300 times? Round to the nearest unit.
Solution
To solve this problem, we first need to find the probability of rolling a triple in one trial. Since Christopher rolled 3 dice 32 times and got 0 triples, the probability of rolling a triple in one trial is 0.
Next, we use this probability to find the expected number of triples in 300 rolls. The expected number of successes (in this case, triples) in a set number of trials (in this case, 300 rolls) is given by the formula:
Expected number of successes = Number of trials * Probability of success in one trial
Substituting the given values into the formula, we get:
Expected number of triples = 300 * 0 = 0
So, Christopher should expect to roll 0 triples if he rolls the dice 300 times.
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