Scholastic Aptitude Test - Mathematics - Probability

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Question - 1

In a simultaneous throw of a pair of dice, find the probability of getting a total more than 7?

  • A \(\frac{4}{5}\)
  • B \(\frac{1}{12}\)
  • C \(\frac{5}{12}\)
  • D none of these

Question - 2

A bag contains 6 white and 4 black balls. Two balls are drawn at random. Find the probability that they are of the same colour.

  • A \(\frac{7}{15}\)
  • B \(\frac{6}{15}\)
  • C \(\frac{4}{15}\)
  • D none of these

Question - 3

A die is in the shape of a tetrahedron as shown, on each face, one of the numbers 1, 2, 3 or 4"is written. This die is tossed. Find the probability of getting a-prime number.

  • A \(\frac{1}{2}\)
  • B \(\frac{1}{3}\)
  • C 1
  • D 0

Question - 4

Suppose you drop a die at random on the rectangular region shown in the figure. What is the probability that it will land inside the square of side 1cm?

  • A \(\frac{1}{6}\)
  • B \(\frac{1}{12}\)
  • C \(\frac{1}{10}\)
  • D \(\frac{1}{24}\)

Question - 5

In class X, there are 18 girls and 12 boys. The names of all the girls and boys are written on a card and are placed in a box. These cards are mixed up thoroughly and a card is drawn at random. What is the probability that the name card, will be that of a girl student?

  • A \(\frac{1}{5}\)
  • B \(\frac{2}{5}\)
  • C \(\frac{3}{5}\)
  • D \(\frac{4}{5}\)

Question - 6

From a pack of 52 cards, one card is drawn at random. What is the probability that the card drawn is a ten or a spade?

  • A \(\frac{4}{13}\)
  • B \(\frac{1}{4}\)
  • C \(\frac{1}{13}\)
  • D \(\frac{1}{26}\)

Question - 7

Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn bears a number which is a multiple of 3?

  • A \(\frac{3}{10}\)
  • B \(\frac{3}{20}\)
  • C \(\frac{2}{5}\)
  • D \(\frac{1}{2}\)

Question - 8

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

  • A 5%
  • B 15%
  • C 35%
  • D 45%

Question - 9

Anunbiaseddice is rolled twice, what; is the probability of not getting a 2 in anyone of the two rolls?

  • A \(\frac{5}{2}\)
  • B \(\frac{25}{36}\)
  • C \(\frac{1}{3}\)
  • D \(\frac{35}{36}\)

Question - 10

A coin is tossed 5 times. What is the probability of getting number of heads, more than the number of tails?

  • A \(\frac{1}{3}\)
  • B \(\frac{1}{32}\)
  • C \(\frac{5}{32}\)
  • D \(\frac{1}{2}\)
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