Mathematics Class 10 Probablitiy MCQ Test Pape

Q 1 –  If an event that cannot occur, then its probability is

(A) 1

(B) \frac{3}{4}

(C) \frac{1}{2}

(D) 0

Q 2 –  Which of the following cannot be the probability of an event ?

  • \frac{3}{4}
  • 0.1
  • 3
  • \frac{17}{16}

Q 3 –  An event is very unlikely to happen. Its probability is closest to:

(A) 0.0001             (B) 0.001

(C) 0.01    (D) 0.1

Q 4 –  If the probability of an event is p, then the probability of its complementary event will be:

  • P – 1
  • P
  • 1 – p
  • {1-}\frac{1}{p}

Q 5 –  The probability expressed as a percentage of a particular occurrence can never be:

  • less than 100
  • less than 0
  • greater than 1
  • anything but a whole number

Q 6 –  If P(A) denotes the probability of an event A, then:

(A) P(A) < 0                  (B) P(A) > 1

(C) 0 ≤ P(A) ≤ 1            (D) -1≤ P(A) ≤ 1

Q 7 –  f a card is selected from a deck of 52 cards, then the probability of its being a red face card is

(A) :\frac{3}{26}

(B) \frac{3}{13}

(C) \frac{3}{7}

(D) \frac{5}{7}

Q 8 –  The probability that a non-leap year selected at random will contain 53 Sundays is:

  1. \frac{1}{7}
  2. \frac{2}{7}
  3. \frac{3}{26}
  4. \frac{3}{26}

Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.

  • Both A and R are true and R is the correct explanation of A
  • Both A and R are true but R is NOT the correct explanation of A
  • A is true but R is false
  • A is false and R is True

Q 9 –  Assertion (A): A bag contains slips numbered from 1 to 100. If Fatima chooses a slip at random from the bag, it will either be an odd number or an even number. Since this situation has only two possible outcomes, the probability of each is .

Reason (R): When we toss a coin, there are two possible outcomes: head or tail. Therefore, the probability of each outcome is

Q 10 –  Assertion (A): If P(F) = 0.20, then the probability of `not E’ is 0.80.

Reason (R): If two dice are thrown together, then the probability of getting a doublet is

Q 11 –  Assertion (A): The probability that a number selected at random from the number 1, 2, 3……..15 is a multiple of 4 is

Reason (R): Two different coins are tossed simultaneously. The probability of getting at least one head is

Q 12 –  Find the probability of getting a king of red Colur.

(A) \frac{1}{26}  (B) \frac{1}{13 }

(C) \frac{1}{52}  (D) \frac{1}{4}

Attempt any four sub-parts from each question. Each sub-part carries 1 mark

Read the following text and answer the following questions on the basis of the same:On a weekend Rani was playing cards with her family. The deck has 52 cards.If her brother drew one card.

Q 13 –  Find the probability of getting a face card.

(A)\frac{1}{26} (B) \frac{1}{13}

(C) \frac{2}{13}  (D)\frac{3}{13}

Q 14 –  Find the probability of getting a ‘sack of hearts.

(A)\frac{1}{26} (B) \frac{1}{52}

(C)\frac{3}{52}  (D)\frac{3}{26}

Q 15 –  Find the probability of getting a red face card.

(A)\frac{3}{13} (B)\frac{1}{13}

(C) \frac{1}{52} (D)\frac{1}{4}

Q 16 –  Find the probability of getting a spade.

(A)\frac{1}{26} (B) \frac{1}{13}

(C)\frac{31}{52} (D)\frac{1}{4}

Read the following text and answer the following questions on the basis of the same: Rahul and Ravi planned to play Business (board
game) in which they were supposed to use two
dice.

Q 17 –  Ravi got first chance to roll the dice. What is the probability that he got the sum of the two numbers appearing on the top face of the dice is 8 ?

(A) \frac{1}{26} (B)  \frac{5}{36}

(C)  \frac{1}{18} (D) 0

Q 18 –  Rahul got next chance. What is the probability that he got the sum of the two numbers appearing on the top face of the dice is 13 ?

(A) 1              (B)  \frac{5}{36}

(C)  \frac{1}{18} (D)

Q 19 –  Now it was Ravi’s turn. He rolled the dice. What is the probability that he got the sum of the two numbers appearing on the top face of the dice is less than or equal to 12 ?

(A) 1              (B)  \frac{5}{36}

(C)  \frac{1}{18} (D) \frac{5}{18}