Which number cannot represent a probability?
- A$\frac{2}{3}$
- ✓$\frac{15}{10}$
- C15%
- D0.7
Answer: B.
View full solution →Question types
Probability question types
18 questions across 5 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.
18
Questions
5
Question groups
5
Question types
01
M.C.Q (1 Marks)
1 Q→02Complete the following activities and rewrite it : (2M)
6 Q→033 Marks Question
6 Q→041 Marks Question
1 Q→05Solve the following sub questions( 3 Marks ):
4 Q→Sample Questions
Probability questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
A die is rolled. Complete the following activity to find the probability of getting a prime number on the upper face of the die :
A die is rolled. S is the sample space.
A die is rolled. S is the sample space.
A card is drawn from a well-shuffled pack of 52 playing cards. Complete the following activity to find the probability of the event that the card drawn is a red card:
Suppose S is the sample space. .. n(S) = 52.
Event A Card drawn is a red card.
Suppose S is the sample space. .. n(S) = 52.
Event A Card drawn is a red card.
Two coins are tossed simultaneously. Complete the following activity of writing the sample space $(S)$ and expected outcomes of the events :
View full solution →There are 9 tickets in a box, each bearing one of the numbers from 1 to 9 . One ticket is drawn at random from the box.
Event A : Ticket shows an even number.
Complete the following activity :
Event A : Ticket shows an even number.
Complete the following activity :
The faces of a die bear the numbers 1, 3, 5, 7, 9, 11. The die is rolled. Find the probability of getting a perfect square number on the upper face of the die.
A two-digit number is to be formed from the digits 2,3,5 without repetition of the digits. Complete the following activity to find the probability that the number so formed is an odd number :
Let S be the sample space.
$\therefore S=\{23,25,32, ⬜, 52,53\}$$\quad$$\quad$$\therefore n(S)$ = ⬜
Now condition of event A is that number so formed is an odd number.
$\therefore A=\{23,25,⬜, 53\}$$\quad$$\quad$ $\therefore n(A)=4$
$\therefore P(A)=\frac{⬜}{n(S)}$$\quad$$\quad$...(Formula)
$\therefore P(A)=\frac{⬜}{6}$
$\therefore P(A)=\frac{⬜}{3}$
View full solution →Let S be the sample space.
$\therefore S=\{23,25,32, ⬜, 52,53\}$$\quad$$\quad$$\therefore n(S)$ = ⬜
Now condition of event A is that number so formed is an odd number.
$\therefore A=\{23,25,⬜, 53\}$$\quad$$\quad$ $\therefore n(A)=4$
$\therefore P(A)=\frac{⬜}{n(S)}$$\quad$$\quad$...(Formula)
$\therefore P(A)=\frac{⬜}{6}$
$\therefore P(A)=\frac{⬜}{3}$
A card is drawn at random from a pack of well-shuffled 52 playing cards. Complete the following activity to find the probability that the card drawn is
(i) an ace(Event A)(ii) a spade (Event B).
S is the sample space.
$\therefore n(S)=52$
(i) Event A: The card drawn is an ace.
$\therefore n(A)$ = ⬜
$P(A)$ = ⬜$\quad$$\quad$...(Formula)
$\therefore P(A)=\frac{⬜}{52}$$\quad$$\quad$$\therefore P(A)=\frac{⬜}{13}$
(ii) Event B: The card drawn is a spade.
$\therefore n(B)$ = ⬜
$P(B)=\frac{n(B)}{n(S)}$
$\therefore P(B)=\frac{⬜}{4}$
View full solution →(i) an ace(Event A)(ii) a spade (Event B).
S is the sample space.
$\therefore n(S)=52$
(i) Event A: The card drawn is an ace.
$\therefore n(A)$ = ⬜
$P(A)$ = ⬜$\quad$$\quad$...(Formula)
$\therefore P(A)=\frac{⬜}{52}$$\quad$$\quad$$\therefore P(A)=\frac{⬜}{13}$
(ii) Event B: The card drawn is a spade.
$\therefore n(B)$ = ⬜
$P(B)=\frac{n(B)}{n(S)}$
$\therefore P(B)=\frac{⬜}{4}$
A committee of two members is to be formed from three boys and two girls. Find the probability of the following events :
Event A : At least one girl must be a member of the committee.
Event B : Committee must be of one boy and one girl.
Event A : At least one girl must be a member of the committee.
Event B : Committee must be of one boy and one girl.
A two digit number is to be formed from the digits 2, 3, 5 without repetition of the digits. Complete the following activity to find the probability that the number so formed is an odd number.
Activity :
Let S be the sample space.
$\therefore S=\{23,25,32,$ ⬜, $52,53\} $
$\therefore n(S)=$ ⬜
Event A : The number so formed is an odd number.
$\therefore A=\{23,25, $ ⬜, $53\} $
$\therefore n(A)=4 $
$\therefore P(A)=\frac{⬜}{n(S)} ...... ..(\text {Formula}) $
$\therefore P(A)=\frac{⬜}{6} $
$\therefore P(A)=\frac{⬜}{3} .$
View full solution →Activity :
Let S be the sample space.
$\therefore S=\{23,25,32,$ ⬜, $52,53\} $
$\therefore n(S)=$ ⬜
Event A : The number so formed is an odd number.
$\therefore A=\{23,25, $ ⬜, $53\} $
$\therefore n(A)=4 $
$\therefore P(A)=\frac{⬜}{n(S)} ...... ..(\text {Formula}) $
$\therefore P(A)=\frac{⬜}{6} $
$\therefore P(A)=\frac{⬜}{3} .$
Two-digit numbers are formed from the digits 0, 1, 2, 3. Repetition of the digits are allowed. Complete the following activity to find the probability that the number so formed is a prime number:
The sample space
$S$ = {______}$\quad$$\quad$$\therefore n(S)$=⬜
Let A be the event that the number so formed is a prime number.
$A=$ {______}$\quad$$\quad$$\therefore n(A)$=⬜
$P(A)=\frac{n(A)}{n(S)}$$\quad$$\quad$$\therefore P(A)$=$[-]$=$[-]$
View full solution →The sample space
$S$ = {______}$\quad$$\quad$$\therefore n(S)$=⬜
Let A be the event that the number so formed is a prime number.
$A=$ {______}$\quad$$\quad$$\therefore n(A)$=⬜
$P(A)=\frac{n(A)}{n(S)}$$\quad$$\quad$$\therefore P(A)$=$[-]$=$[-]$
Two coins are tossed simultaneously. Write the sample space S.
A two-digit number is to be formed from the digits 2,3,5 without repetition of the digits. Complete the following activity to find the probability that the number so formed is an odd number :
A card is drawn at random from a pack of well-shuffled 52 playing cards. Complete the following activity to find the probability that the card drawn is
Two-digit numbers are formed from the digits 0, 1, 2, 3. Repetition of the digits are allowed. Complete the following activity to find the probability that the number so formed is a prime number:
The sample space
The sample space
A card is drawn at random from a well-shuffled pack of 52 playing cards. Complete the following activity to find the probability of the events that the card drawn is (i) a heart (ii) not a face card. The sample space S contains 52 sample points.
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