Q5. John looks at the clock at some arbitrary time between 4pm and 6 pm and notices that the angle between the two hands is an acute angle. He looks at the clock exactly 15 minutes later, what is the probability that during this observation also he sees that the angle between the hour and minute hands to be an acute-angle?

Q7. If two balanced dice are tossed once, the probability of the event, that the sum of the integers coming on the upper sides of the two dice is 9, is ?

Q8. A man draws a card from a pack of 52 playing cards, replaces it and shuffles the pack. He continues this processes until he gets a card of spade. The probability that he will fail the first two times is ?

Q9. A LETTER LOCK CONSISIT OF 3 RINGS EACH MARKED WITH 10 DIFFERENT LETTERS. IN HOW MANY WAYS IT IS POPSSIBLE TO MAKE AN UNSUCCESSFUL ATTEMPT TO OPEN LOCK