alleryA fair six-sided die is rolled once. What is the chance of not getting a six?
- 5/6
- 1/3
- 1/6
- 2/3
Show answer and solution
Correct answer: A. 5/6
The complement rule gives 1 minus 1/6, which is 5/6.
CA Foundation Probability — practice questions
Explore 57 free Probability questions in CA Foundation Quantitative Aptitude. Open each question or exercise to read its content, reference answers and available explanation.
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Showing questions 1–30 of 57.
A fair six-sided die is rolled once. What is the chance of not getting a six?Read the answer and worked solution →If an event occurs with probability 0.35, what is the probability that it does not occur?Read the answer and worked solution →Two fair coins are tossed together. What is the chance that both land heads?Read the answer and worked solution →Three fair coins are tossed. What is the probability that all three show heads?Read the answer and worked solution →One card is drawn from a 52-card deck. What is the chance it is a heart or a face card?Read the answer and worked solution →Events A and B are mutually exclusive. What is the probability that both occur?Read the answer and worked solution →A bag holds 2 red and 2 blue balls. A red ball is drawn and kept aside. What is the chance the next ball is red?Read the answer and worked solution →If P(A and B) = 0.12 and P(B) = 0.4, what is P(A given B)?Read the answer and worked solution →Independent events X and Y have P(X) = 0.25 and P(Y) = 0.8. Find P(X and Y).Read the answer and worked solution →What is the chance that a card drawn from a standard 52-card deck is a heart?Read the answer and worked solution →How many of the 52 cards are both hearts and face cards, and what is the chance of drawing one?Read the answer and worked solution →On the probability scale, the whole sample space is assigned which value?Read the answer and worked solution →A fair die is rolled. What is the chance that the number is odd?Read the answer and worked solution →What is the expected number of pips on one toss of a fair six-sided die?Read the answer and worked solution →A game pays Rs 100 with probability 0.2 and nothing otherwise. What is the expected payoff?Read the answer and worked solution →You may gain Rs 40 or Rs 100 with equal chance. What is the value of this expectation?Read the answer and worked solution →Given P(B given A) = 0.8, P(A) = 0.3 and P(B) = 0.6, what is P(A given B)?Read the answer and worked solution →If P(A given B) = 0.5, P(B) = 0.2 and P(A) = 0.25, find P(B given A).Read the answer and worked solution →An event has probability 0.75. What are the odds in its favour?Read the answer and worked solution →The odds in favour of an event are 2 to 3. What is its probability?Read the answer and worked solution →Odds on rain are quoted as 1 to 4 in favour. What is the chance of rain?Read the answer and worked solution →An experiment has 12 equally likely outcomes, 3 of which are desired. What is the probability?Read the answer and worked solution →A bag has 5 red, 3 green and 2 blue balls. What is the chance of drawing a green ball?Read the answer and worked solution →Two balls are drawn without replacement from 2 red and 2 blue balls. Chance both are red?Read the answer and worked solution →A coin and a die are thrown together. What is the chance of heads and an even number?Read the answer and worked solution →Independent events each have probability 0.5. What is the chance at least one occurs?Read the answer and worked solution →A probability of 25 percent is written as which decimal?Read the answer and worked solution →Independent events have P(A) = 0.3 and P(B) = 0.5. What is P(B given A)?Read the answer and worked solution →Mutually exclusive events A and B have P(A) = 0.35 and P(A or B) = 0.8. Find P(B).Read the answer and worked solution →A draw pays Rs 1000 with chance 0.01 and Rs 100 with chance 0.05, else nothing. Expected payoff?Read the answer and worked solution →
Worked practice questions
If an event occurs with probability 0.35, what is the probability that it does not occur?
- 0.65
- 0.35
- 0.75
- 0.55
Show answer and solution
Correct answer: A. 0.65
The probability of the opposite event is 1 minus 0.35, which equals 0.65.
Two fair coins are tossed together. What is the chance that both land heads?
- 3/4
- 1/3
- 1/2
- 1/4
Show answer and solution
Correct answer: D. 1/4
The tosses are independent, so the chances multiply: 1/2 times 1/2 is 1/4.
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