CBSE Class 10 Mathematics/Probability

CBSE Class 10 Mathematics/Probability – Chapter 15 is about the Model Questions that you can expect for Yearly Examination. Here you can find out practice problems for Class 10 Mathematics. This worksheet is designed for CBSE Class 10 students.

CBSE Class 10 Mathematics/Probability- Chapter 15
Extra Questions for Practice/Model Questions
Answer the following:

1. One card is drawn from a well shuffled deck of 52 cards. Calculate the probability that the card will
   a) Be an ace
   b) Not be an ace
   Answers:
   a) There are 4 aces in a deck.
   The number of favourable outcomes = 4
   The number of possible outcomes = 52
   Probability (be an ace) = 4/52 = 1/13
   b) The number of favourable outcomes = 52 – 4 = 48
   Probability (not be an ace) = 48/52 = 12/13
2. One card is drawn from a well shuffled deck of 52 cards. Calculate the probability that the card will
   a) Either a black king or a queen
   b) A queen of black suit
   c) A king of red suit
   Answers:
   a) Probability (getting either a black king or a queen) = (2 + 4)/52 = 6/52 = 3/26
   b) Probability (getting a queen of black suit) = 2/52 = 1/26
   c) Probability (getting a king of red suit) = 2/52 = 1/26
3. A card is drawn at random from a well shuffled pack of 52 cards. Find the probability of getting
   a) A red face card
   b) A non-spade
   c) Neither an ace nor a king
   Answers:
   a) Probability (getting a red face card) = 6/52 = 3/26
   b) Probability (getting non-spade) = 39/52 = ¾
   c) Probability (getting an ace nor a king) = 44/52 = 11/13
4. One card is drawn from a well shuffled deck of 52 cards. Calculate the probability that the card will
   a) 2 of spades
   b) 10 of black suit
   Answers:
   a) Probability (getting 2 of spades) = 1/52
   b) Probability (getting 10 of a black suit) = 4/52 = 1/13
5. One card is drawn from a well shuffled deck of 52 cards. Calculate the probability that the card will
   a) Neither a red card nor a queen
   b) Neither an ace nor a king
   c) Neither a king nor a queen
   Answers:
   a) Number of red cards and queens = 28
   Number of favourable outcomes = 52
   Probability (getting neither a red card nor a queen) = 24/52 = 6/13
   b) Probability (neither an ace nor a king) = 1 – P (either an ace or a king)
   = 1 – [4/52 + 4/52]
   = 1 – 8/52
   = 44/52 = 11/13
   c) Probability (neither a king nor a queen) = 1 – P (either a king or a queen)
   = 1 – 8/52 = 1 – 2/13 = 11/13