The probability of a certain event is
- A$0$
- ✓1
- C$1/2$
- D-1
Answer: B.
View full solution →Question types
Probability question types
188 questions across 8 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.
188
Questions
8
Question groups
5
Question types
01
M.C.Q (1 Marks)
61 Q→02Fill In The Blanks[1 Marks ]
47 Q→03True False[1 Marks ]
16 Q→041 Marks Question
20 Q→052 Marks Questions
16 Q→063 Marks Question
8 Q→07Match The Following.
9 Q→084 Marks Questions
11 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.
Which of the following cannot be the probability of an event?
- A$\frac{1}{2}$
- B1
- C$0$
- ✓1.5
Answer: D.
View full solution →If probability of success is $0.9 \%$, then probability of failure is
- A0.91
- B0.091
- C99.1
- ✓0.991
Answer: D.
View full solution →If $P(E)=0.01$, then $P(\operatorname{not} E)$ is equal to
- A0.09
- B0.1
- C0.9
- ✓0.99
Answer: D.
View full solution →A single letter is selected at random from the word 'PROBABILITY'. The probability that it is a vowel is
- A$\frac{3}{11}$
- ✓$\frac{4}{11}$
- C$\frac{2}{11}$
- D$\frac{5}{11}$
Answer: B.
View full solution →The probability of an event is greater than or equal to ________ and less than or equal to ________.
The sum of the probabilities of all the elementary events of an experiment is ________.
The probability of an event that is certain to happen is ________. Such an event is called ________.
The probability of an event that cannot happen is ________. Such an event is called ________.
Probability of an event E + Probability of the event not E = ________.
If the event is not produced then it is called impossible event.
The probability of certain event is $1$ .
View full solution →The sum of the probabilities of all the elementary events of an experiment is $1$ .
View full solution →The probability is $\frac{1}{81}$ to get $81$ marks in $80$ marks question paper.
View full solution →The probability of imposible event is $0$ .
View full solution →It is given that in a group of $3$ students, the probability of $2$ students not having the same birthday is $0.992$. What is the probability that the $2$ students have the same birthday?
View full solution →A bag contains lemon flavoured candies only. Malini takes out one candy without looking into the bag. What is the probability that she takes out
- an orange flavoured candy?
- a lemon flavoured candy?
If $P(E) = 0.05$, what is the probability of not E?
View full solution →Why is tossing a coin considered to be a fair way of deciding which team should get the ball at the beginning of a football game?
A baby is born. It is a boy or a girl. Is this experiment has an equally likely outcome? Explain.
A bag contains $3$ red balls and $5$ black balls. A ball is drawn at random from the bag. What is the probability that the ball drawn is
View full solution →- red ?
- not red ?
Which of the following cannot be the probability of an event?
Is the given statement correct or not correct?
If a die is thrown, there are two possible outcomes- an odd number or an even number. Therefore, the probability of getting an odd number is $\frac{1}{2}$.
View full solution →If a die is thrown, there are two possible outcomes- an odd number or an even number. Therefore, the probability of getting an odd number is $\frac{1}{2}$.
Is the given statement correct or not correct?
If two coins are tossed simultaneously there are three possible outcomes- two heads, two tails or one of each. Therefore, for each of these outcomes, the probability is $\frac{1}{3}$.
View full solution →If two coins are tossed simultaneously there are three possible outcomes- two heads, two tails or one of each. Therefore, for each of these outcomes, the probability is $\frac{1}{3}$.
A die is thrown twice. What is the probability that:
View full solution →- $5$ will not come up either time?
- $5$ will come up at least once?
A box contains $5$ red marbles, $8$ white marbles and $4$ green marbles. One marble is taken out of the box at random. What is the probability that the marble taken out will be
View full solution →- red $?$
- white $?$
- not green $?$
- Two dice, one blue and one grey, are thrown at the same time. Complete the following table:
Event: Sum on $2$ dice $2$ $3$ $4$ $5$ $6$ $7$ $8$ $9$ $10$ $11$ $12$ Probability $\frac{1}{{36}}$ $\frac{5}{{36}}$ $\frac{1}{{36}}$ - A student argues that there are $11$ possible outcomes $2, 3, 4, 5, 6, 7, 8, 9, 10, 11$ and $12.$ Therefore, each of them has a probability $\frac{1}{11}$. Do you agree with this argument? Justify your answer.
One card is drawn from a well-shuffled deck of $52$ cards. Find the probability of getting
View full solution →- a king of red colour
- a face card
- a red face card
- the jack of hearts
- a spade
- the queen of diamonds
A die is thrown once. Find the probability of getting
View full solution →- a prime number;
- a number lying between $2$ and $6$
- an odd number.
A game of chance consists of spinning an arrow which comes to rest pointing at one of the numbers $1, 2, 3, 4, 5, 6, 7, 8 ($see figure$)$ and these are equally likely outcomes. What is the probability that it will point at:
View full solution →
- $8?$
- an odd number$?$
- a number greater than $2?$
- a number less than $9?$
| A | B |
| Q.1. The probability of any event can not be ....... | (a) Zero |
| Q.2. $P ( E )$$=\frac{\begin{array}{c}\text { Number of outcomes favorable to event E }\end{array}}{\begin{array}{c}\text { Number of all possible outcomes of the experiment }\end{array}}$ who has given this definition of probability? | (b) Negative |
| (c) Pierre Simon Laplace |
| A | B |
| Q.1. The probability of getting 28 marks out of 80 in the paper of basic maths is ........ | (a) 1 |
| Q.2. Two dice are thrown at the same time. The numbers of all possible outcomes are ........ | (b) $\frac{1}{81}$ |
| (c) 36 |
| A | B |
| Q.1. The probability of any event can be .......... or less than it. | (a) 1 |
| Q.2. A dice is thrown once. The proba- bility of getting 7 on it is .......... | (b) –1 |
| (c) 0 |
| A | B |
| Q.1. The probability of any event can be ......... or more than it. | (a) 0 |
| Q.2. The probability of any event except sure event and impossible event always lies between ........ | (b) 1 and 2 |
| (c) 0 and 1 |
| A | B |
| Q.1. The probability of a sure event is ......... | (a) 0 |
| Q.2. The probability of an impossible event is .......... | (b) 1 |
| (c) -1 |
A box contains 90 discs which are numbered from 1 to 90. If one disc is drawn at random from the box. find the probability that it bears
(1) a two digit number
(2) a perfect square number and
(3) a number divisible by 5.
(4) a perfect cube number.
One card is drawn from a well-shuffled deck of 52 cards. Find the probability of getting: (1) a king of red colour
(2) a face card (3) a spade (4) the queen of diamonds.
Suppose you drop a die at random on the rectangular region shown in Figure. What is the probability that it will land inside the circle with diameter 1m?
Suppose we throw a die once.
- What is the probability of getting a number greater than 4?
- What is the probability of getting a number less than or equal to 4?
A carton consists of 100 shirts of which 88 are good, 8 have minor defects and 4 have major defects. Jimmy, a trader, will only accept the shirts which are good, but Sujatha, another trader, will only reject the shirts which have major defects. One shirt is drawn at random from the carton. What is the probability that
- it is acceptable to Jimmy?
- it is acceptable to Sujatha?
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