Question types

Probability question types

35 questions across 6 question groups — pick any mix to generate a MATHS paper with step-by-step answer keys.

35
Questions
6
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.

Two cards are drawn at random and without replacement from a pack of 52 playing cards, then the probability that both the cards are black is :
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Probability of speaking truth by$ A$ is $\frac{4}{5}$ where as by $B$ is $\frac{3}{4}$. When they speak on a topic, then probability of contradiction:
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A die is rolled. Let $A$ be event of getting number more than 3 and B be event of getting number less than 5 . Then value of $P ( A \cup B )$ :
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A die is thrown. If $E$ is the event 'the number appearing is a multiple of $3^{\prime}$ and $F$ be the event 'the number appearing is even' then find whether $E$ and $F$ are independent?
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One by one 3 cards are drawn from a well-shuffled deck of 52 cards without replacement. Find the probability of first two cards are Ace and third card is King.
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Suppose a girl throw a die. If she gets 1 or 2, she tosses a coin three times and notes the number of tails. If she gets 3, 4, 5 or 6, she tosses a coin once and notes whether a 'head' or 'tail' is obtained exactly one 'tail', what is the probability that she threw 3, 4, 5 or 6 with the die?
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Coloured balls are distributed in $3$ bags as shown in the following table :
Colour of balls
Bag Black White Red
$I$ $1$ $2$ $3$
$1$ $2$ $4$ $1$
$III$ $4$ $5$ $3$
A bag is selected at random and then two balls are randomly drawn from the selected bag. The colours of the balls are black and red. What is the probability that ball drawn is from bag I?
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A bag has 4 red and 6 black balls and other bag has 3 red and 5 black balls. One of the two bags, is selected at random and a ball is drawn at random. The ball drawn is found to be red. What is the probability that ball comes out from second bag?
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