Problem Solving MCQ Set 31

Question: A man bets on number 16 on a roulette wheel 14 times and losses each time. On the 15th span he does a quick calculation and finds out that the number 12 had appeared twice in the 14 spans and is therefore, unable to decide whether to bet on 16 or 12 in the 15th span. Which will give him the best chance and what are the odds of winning on the bet that he takes? (Roulette has numbers 1 to 36)

1. 16; 22 : 14
2. 12; 72 : 1
3. 12; 7 : 1
4. Either; 35 : 1

Question: Two squares are chosen at random on a chessboard. What is the probability that they have a side in common?

1. 1 / 18
2. 64 / 4032
3. 63 / 64
4. 1 / 9

Question: When two dice are thrown simultaneously, what is the probability that the sum of the two numbers that turn up is less than 11?

1. 5 / 6
2. 11 / 12
3. 1 / 6
4. 1 / 12

Question: When 4 dice are thrown, what is the probability that the same number appears on each of them?

1. 1/36
2. 1/18
3. 1/216
4. 1/5

Question: An experiment succeeds twice as often as it fails. What is the probability that in the next 5 trials there will be four successes?

1. 0
2. (2/3)^4
3. 5*((2/3)^4)*(1/3)
4. ((2/3)^4)*(1/3)

Question: An anti aircraft gun can fire four shots at a time. If the probabilities of the first, second, third and the last shot hitting the enemy aircraft are 0.7, 0.6, 0.5 and 0.4, what is the probability that four shots aimed at an enemy aircraft will bring the aircraft down?

1. 0.084
2. 0.916
3. 0.036
4. 0.964