### Scholastic Aptitude Test - Mathematics - Probability

#### 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 $\frac{1}{2}$