Question 7.8 Nehemiah has 8 different pamphlets which he wishes to randomly put in 4 mailboxes labelled A B, C and D. What is the probability that two of the mailboxes will get 3 pamphlets each while the other two get 1 pamphlet each? Question 8.5 Nehemiah has 24 identical pamphlets which he wishes to randomly put in 4 mailboxes labelled A, B, C and D. What is the probability that he will put the pamphlets in the mailboxes in such a way that the total number of pamphlets delivered to mailboxes A and B is at most 3? Question 5.5 Twelve luxury cars for sale (4 Audi, 4 VW and 4 Mercedes Benz) are to be parked in parking bays designated Bay 1, Bay 2, ……, Bay 12 lined up on one side of a street. What is the probability every Mecedes Benz vehicle will be immediately preceded by an Audi vehicle and will have a VW vehicle immediately behind it? Question 4.1 The captain of a ship that is in distress must randomly send a total of 7 identical blue light signals, 3 different red-light signals (R1, R2 and R3) and 6 different purple light signals (P1, P2, P3, P4, P5 and P6). What is the probability that the signals will be sent in such a way that every purple signal is preceded by a signal that is blue? Question 3.1 The captain of a ship that is in distress must randomly send a total of 3 identical blue light signals, 4 identical red light signals and 6 different purple light signals (P1, P2, P3, P4, P5 and P6). What is the probability that the signals will be sent in such a way that the first two signals are not purple and the last two signals are purple? Question 2.12 The captain of a ship that is in distress must randomly send a total of 4 identical blue light signals, 4 identical red light signals and 6 different purple light signals (P1, P2, P3, P4, P5 and P6). What is the probability that the signals will be sent in such a way that the first two signals are purple and the last two signals are not purple? Question 1.6 If all the letters in the word PROBABILITY are used to randomly form an 11-letter word, what is the probability of getting a word such that all the letters that are the same appear side by side?