Question types

Probability question types

54 questions across 5 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.

54
Questions
5
Question groups
5
Question types
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.

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?
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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
  1. an orange flavoured candy?
  2. a lemon flavoured candy?
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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
  1. red ?
  2. not red ?
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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 $\frac{1}{2}$.
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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 $\frac{1}{3}$.
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A die is thrown twice. What is the probability that:
  1. $5$ will not come up either time?
  2. $5$ will come up at least once?
[Hint: Throwing a die twice and throwing two dice simultaneously are treated as the same experiment]
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Q 213 Marks Question3 Marks
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
  1. red ?
  2. white ?
  3. not green ?
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Q 223 Marks Question3 Marks
  1. 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 $\frac{1}{{36}}$           $\frac{5}{{36}}$       $\frac{1}{{36}}$
  2. 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.
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Q 233 Marks Question3 Marks
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 red face card
  4. the jack of hearts
  5. a spade
  6. the queen of diamonds
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Q 253 Marks Question3 Marks
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:
  • A
    $8?$
  • B
    an odd number?
  • C
    a number greater than$ 2?$
  • D
    a number less than $9?$
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