The probability is 0. Fair dice have six sides, and each side has an equal chance of being rolled. The maximum possible outcome with two dice is 6 + 6 = 12, rendering a total of 13 unattainable. Hence, the probability of achieving a total of 13 is 0.
To divide 16 teams into 4 divisions, you take 16 and divide by 4 to result in 4 equal groups of teams.
34.56%. This is a binomial probability that can efficiently be calculated using the following formula: Here, n signifies the total number of trials (in this case, 4), x denotes the number of "successes" (which is 3), p is the success probability (60% or 0.6), and q indicates the failure rate (1 - p, thus 0.4). Plugging these values into the formula yields the solution: in percentage form, the probability is found to be 34.56%.
Events A and B are termed independent when
if not, events A and B are classified as dependent.
The events A, B and A∩B are:
- A - Jane plans to attend a ballgame on Monday;
- B - Kate intends to go to a ballgame on Monday;
- A∩B - Both Kate and Jane will be at the ballgame on Monday.
Answer: events A and B are dependent
