Probability Quiz

A bag contains 6 white and 4 red balls. Three balls are drawn one by one with replacement. What is the probability that all 3 balls are red?

• 8/125

• 1/20

• 1/30

• 1/120

A card is pulled from a deck of cards and the outcome noted. The card is then replaced, the deck is shuffled, and a second card is drawn and the outcome noted. What is the probability that both cards are Aces?

• 1/13^2

• 4C2/52C2

• 4P2/52P2

• 1/13

An urn contains 9 blue, 7 white and 4 black balls. If 2 balls are drawn at random, then what is the probability that only one ball is white?

• 71/190

• 121/190

• 91/190

• 93/190

Find the probability that in a random arrangement of the letters of the word 'UNIVERSITY' the two I's come together.

• 1/7

• 3/5

• 5/11

• 1/5

A and B play a game where each is asked to select a number from 1 to 5. If the two numbers match, both of them win a prize. The probability that they will not win a prize in a single trial is

• 1/5

• 2/5

• 3/5

• 4/5

I forgot the last three digits of a 7-digit telephone number. If I randomly dial the final 3 digits after correctly dialling the first four, then what is the chance of dialling the correct number?

• 1/1001

• 1/1000

• 1/999

• 1/900

What is the probability that a 2 digit number selected at random will be a multiple of 3 and not a multiple of 5?

• 2/15

• 4/ 15

• 1/15

• 4/90

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

• 5/6

• 11/12

• 1/6

• 1/12

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

• 1/36

• 1/18

• 1/216

• 1/5

An anti-aircraft gun can fire 4 shots at a time. If the probabilities of the 1 st, 2 nd ,3rd and the last shot hitting the enemy aircraft are 0.7, 0.6, 0.5 and 0.4, what is the probability that 4 shots aimed at an enemy aircraft will bring the aircraft down?

• 0.084

• 0.916

• 0.036

• 0.964