3.Consider the following two situations: Situation1:Chance of getting'2' or '5' in a throw of a die. Situation 2:Chance of getting'1','3'or'5' in a throw of a die. Which situation has more chance to occur ?
Answers
Answer:
You did not take into account the fact that a 2 or a 5 could be obtained in either the first roll or the second roll. You must add these probabilities. Also, you must take into account the possibility that both events occur.
The probability of obtaining a 2 on the first roll is 1/6. The probability of obtaining a 2 on the second roll is also 1/6. Similarly, the probability of obtaining a 5 on the first roll is 1/6, and the probability of obtaining a 5 on the second roll is also 1/6. Adding those four probabilities yields
4⋅16=23
However, we have counted those outcomes in which we obtain a 2 on both rolls, a 5 on both rolls, a 2 on the first roll and a 5 on the second roll, and a 5 on the first roll and a 2 on the second roll twice. Each of those four events has probability 1/36. Hence, the probability of obtaining a 2 or a five in two throws of a die is
4⋅16−4⋅136=23−19=59
Answer:
1/3 situation2 3/6 or 1/2