Quiz Discussion

A box contains two white balls, three black balls and four red balls. Balls of the same colour are distinct. The number of ways in which three balls can be drawn from the box if atleast one black ball is to be included in the draw, is

• 1]

  32

• 2]

  64

• 3]

  128

• 4]

  None Of These

Ten participants are participating in a competition. In how many ways can the first three prizes be won?

• 1]

  920

• 2]

  680

• 3]

  720

• 4]

  820

Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is even?

• 1]

  1/2

• 2]

  3/4

• 3]

  3/8

• 4]

  5/16

In how many different ways can the letters of the word 'DETAIL' be arranged in such a way that the vowels occupy only the odd positions?

• 1]

  32

• 2]

  48

• 3]

  36

• 4]

  60

Three unbiased coins are tossed. What is the probability of getting at most two heads ?

• 1]

  3/4

• 2]

  1/4

• 3]

  3/8

• 4]

  7/8

From a pack of 52 playing cards, two cards are drawn together at random. Calculate the probability of both the cards being the Kings.

• 1]

  1/15

• 2]

  25/57

• 3]

  35/256

• 4]

  None Of These

A speaks truth in 75% cases and B in 80% of the cases. In what percentage of the cases are they likely to contradict each other, narrating the same incident?

• 1]

  5%

• 2]

  15%

• 3]

  35%

• 4]

  45%

A fair coin is tossed 5 times. What is the probability of getting at least three heads on consecutive tosses?

• 1]

  3/16

• 2]

  1/4

• 3]

  7/24

• 4]

  5/16

In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?

• 1]

  63

• 2]

  90

• 3]

  126

• 4]

  45

If C(n, 7) = C(n, 5), find n

• 1]

  12

• 2]

  15

• 3]

  18

• 4]

  -1