CBSE Class 10 Mathematics/Probability – Chapter 15/Worksheet

CBSE Class 10 Mathematics/Probability – Chapter 15/Worksheet 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/Worksheet
Answer the following:

1. Consider the numbers 1, 2, 3, ———20. Find the probability that a number selected at random is a multiple of 3?
   Answer:
   Multiples of 3 in between 1 and 20 are 3, 6, 9, 12, 15, and 18.So there are 6 favourable outcomes.
   Total possible outcome = 20
   Required probability = 6/20 = 3/10
2. One card is drawn from a well shuffled deck of 52 cards. Calculate the probability that the card will be a red king?
   Answer:
   Number of red kings = 2
   Total number of cards = 52
   Probability of getting a red king = 2/52 = 1/26
3. Consider the English alphabets; find the probability of getting a vowel?
   Answer:
   Number of English alphabets = 26
   Number of vowels = 5
   Probability of getting a vowel letter = 5/26
4. Two coins are tossed simultaneously. Find the probability of getting at least one tail?
   Answer:
   The possible outcomes are HH, HT, TH, and TT. So there are 4 possible outcomes.
   Probability of getting at least one tail = ¾.
5. One card is drawn from a well shuffled deck of 52 cards. Find the probability of getting black queens?
   Answer:
   Number of black queens = 2
   Total number of cards = 52
   Probability of getting black queens = 2/52 = 1/26
6. If P (E) = 0.25, what is the probability of ‘not E’?
   Answer:
   We know that P (E) + P (not E) = 1
   P (not E) = 1 – P (E) = 1 – 0.25 = 0.75
7. When two coins are tossed simultaneously what is the probability of getting no tail?
   Answer:
   The possible outcomes are HH, HT, TH, and TT. The favourable outcome is HH.
   Probability of getting no tail = ¼
8. One card is drawn from a well shuffled deck of 52 cards. Find the probability of getting neither a red card nor a queen?
   Answer:
   Total number of red cards and queen = 28
   Number of favourable outcomes = 52 – 28 = 24
   Probability of getting neither a red card nor a queen = 24/52 = 6/13.
9. One card is drawn from a well shuffled deck of 52 cards. Find the probability that the card drawn is a black ace?
   Answer:
   Number of black aces in a pack of cards = 2
   Total number of cards = 52
   Probability of getting a black ace = 2/52 = 1/26
10. When two coins are tossed simultaneously, find the probability of getting at least one tail?
    Answer:
    The possible 4 outcomes are HH, HT, TH and TT
    So there are 3 possible outcomes.
    Probability of getting at least one tail = ¾.