Worksheets › Class 11 › Probability
Class 11 Probability worksheet
CBSE Mathematics. Sample spaces, events, P(A ∪ B), complements, dice, cards and selections. Every sheet has 20 questions in three sections and an answer key, and the numbers change every time.
Sample questions
Real questions from this chapter, as the app sets them. Tap Answer to see the answer and working.
Section A · multiple choice
- 1.
How many outcomes are in the sample space when a coin is tossed 4 times?
- 8
- 32
- 22
- 16
Answer
(d) 16
- 2.
If P(A) = 19/40, P(B) = 11/20 and P(A ∩ B) = 1/4, then P(A ∪ B) is:
- 31/40
- 41/40
- 51/40
- 209/800
Answer
(a) 31/40
P(A) + P(B) − P(A ∩ B)
- 3.
If P(A) = 1/9, then P(not A) is:
- 1/18
- 1/8
- 4/9
- 8/9
Answer
(d) 8/9
1 − P(A)
Section B · short answer
- 4.
A coin is tossed three times. Write the sample space. What is the probability of more tails than heads?
Answer
S = {HHH, HHT, HTH, THH, HTT, THT, TTH, TTT}; 1/2
- 5.
If P(A) = 3/10, P(A ∩ B) = 1/10 and P(A ∪ B) = 17/30, find P(B).
Answer
11/30
P(A ∪ B) = P(A) + P(B) − P(A ∩ B)
Section C · long answer
- 6.
A team of 3 is chosen at random from 8 boys and 7 girls. Find the probability that the team has (a) exactly one girl, (b) no girls, (c) at least one girl.
Answer
(a) 28/65; (b) 8/65; (c) 57/65
total C(15, 3) = 455
Fresh sheets for your child
In the app, every Probability sheet is new: the app remembers the questions your child has already had and leaves them out. Print the sheet as a PDF, or use notebook mode and write the answers in a notebook.
Coming soon for Android and iPhone.