alleryOne ace is drawn from a deck and kept aside. P(the next card is an ace)?
- 1/13
- 1/17
- 3/52
- 4/51
Show answer and solution
Correct answer: B. 1/17
Three aces remain among 51 cards, so the probability is 3/51 = 1/17.
ICSE Class 10 Statistics and Probability — practice questions
Explore 112 free Statistics and Probability questions in ICSE Class 10 Mathematics. Open each question or exercise to read its content, reference answers and available explanation.
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Showing questions 1–30 of 112.
One ace is drawn from a deck and kept aside. P(the next card is an ace)?Read the answer and worked solution →A fair coin is tossed 3 times. P(at least one head)?Read the answer and worked solution →In probability, the empty set is the event calledRead the answer and worked solution →When a die is thrown, getting a multiple of 7 isRead the answer and worked solution →A sample space has n distinct elements. How many simple events does it have?Read the answer and worked solution →How many simple events arise when two coins are tossed together?Read the answer and worked solution →Three coins are tossed. How many sample points favour exactly one head?Read the answer and worked solution →The complementary event 'not A' of an event A in a sample space S isRead the answer and worked solution →Two dice are thrown. How many outcomes give a sum greater than 11?Read the answer and worked solution →How many outcomes are there when two dice are thrown once?Read the answer and worked solution →Two dice: events 'sum even' and 'sum multiple of 3' share how many outcomes?Read the answer and worked solution →An event E of a sample space has occurred if the outcome wRead the answer and worked solution →In the axioms of probability, the value of P(S) isRead the answer and worked solution →The probability of the impossible event isRead the answer and worked solution →By the first axiom, for any event E the value P(E) isRead the answer and worked solution →The probability function takes values in the intervalRead the answer and worked solution →For outcomes w1, ..., wn of S, the sum of P(wi) equalsRead the answer and worked solution →A coin has P(H) = 1/4. For a valid assignment, P(T) must beRead the answer and worked solution →A coin is assigned P(H) = 0.3 under the axioms. Then P(T) isRead the answer and worked solution →Giving an outcome a negative probability is invalid because probabilities must beRead the answer and worked solution →Three pens are tested, with 8 equally likely good/bad outcomes. P(exactly one bad) isRead the answer and worked solution →A card is drawn from a well shuffled 52-card deck. P(a diamond) isRead the answer and worked solution →If a card is a diamond with probability 1/4, P(not a diamond) isRead the answer and worked solution →If P(A) = 0.35, then the probability of 'not A' isRead the answer and worked solution →A fair die is rolled. P(a number less than 3) isRead the answer and worked solution →Two fair coins are tossed. P(exactly one head) isRead the answer and worked solution →Two fair dice are thrown. P(sum greater than 11) isRead the answer and worked solution →A card is drawn from ten cards numbered 1 to 10. P(2, 4, 6 or 8) isRead the answer and worked solution →Two dice are thrown. P(first die is 6 and sum is at least 11) isRead the answer and worked solution →A bag has 5 red, 3 green and 2 yellow marbles. P(red or yellow) isRead the answer and worked solution →
Worked practice questions
A fair coin is tossed 3 times. P(at least one head)?
- 7/8
- 1/8
- 3/8
- 1/2
Show answer and solution
Correct answer: A. 7/8
Only TTT has no head, with probability 1/8, so at least one head has probability 7/8.
In probability, the empty set is the event called
- simple event
- impossible event
- compound event
- sure event
Show answer and solution
Correct answer: B. impossible event
The empty set contains no outcome, so it can never occur and is the impossible event.
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