Qn 5: The probability is 1/2 that a certain coin will turn up heads on any given toss and the probability is 1/6 that a number cube with faces numbered 1 to 6 will turn up any particular number. What is the probability of turning up a heads and a 6.
Answer: 1/2 * 1/6 = 1/12
Qn 10: The probability of rain is 1/6 for any given day next week. What is the probability that it will rain on both Monday and Tuesday?
Answer: 1/6*1/6 = 1/36
Qn 28: A certain coin with heads on one side and tails on the other has a 1/2 probability of landing on heads. If the coin is flipped 3 times, what is the probability of flipping 2 tails and 1 head, in any order?
Answer: 1/2 * 1/2 * 1/2 * 3= 3/8
My confusion lies in when do I need to take order into consideration and multiply it by number of slots like in Qn 28. Why isit that for Qn 5 and Qn 10, order does not matter but for Qn 28 order matters?