Quiz: Can You Pass The Probability Online Test?

15 Questions | Total Attempts: 378  Settings  Can you pass the online probability test? An example of probability is to divide the number of events by the number of possible outcomes. This equation will give you the probability of a single event occurring. In the case of rolling a three on a six-sided die, the number of matches is one, and the number of outcomes is six. Then, take this quiz and see what you know.

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Evaluate:
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• 3.
Two cards are drawn at random and without replacement from a pack of 52 playing cards. Find the probability that both the cards are black.
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A box of oranges is inspected by examining three randomly selected oranges drawn without replacement. If all the three oranges are good, the box is approved for sale, otherwise, it is rejected. Find the probability that a box containing 15 oranges out of which 12 are good and 3 are bad ones will be approved for sale.
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A fair coin and an unbiased die are tossed. Let A be the event ‘head appears on the coin’ and B be the event ‘3 on the die’. Which of the following is true?
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A and B are independent events

• B.

A and B are not independent events

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Both A and B

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None of these

• 7.
Probabilities of solving a specific problem independently by A and B are 1/2 & 1/3 and respectively. If both try to solve the problem independently, find the probability that exactly one of them solves the problem.
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Consider the experiment of throwing a die, if a multiple of 3 comes up, throw the die again and if any other number comes, toss a coin. Find the conditional probability of the event ‘the coin shows a tail’, given that ‘at least one die shows a 3’.
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An instructor has a question bank consisting of 300 easy True/False questions, 200 difficult True/False questions, 500 easy multiple choice questions and 400 difficult multiple choice questions. If a question is selected at random from the question bank, what is the probability that it will be an easy question given that it is a multiple choice question?
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A speaks truth in 75% of the cases, while B in 90% of the cases. In what percent of cases are they likely to contradict each other in stating the same fact?
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60 %

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30 %

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40 %

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20 %

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Given that the two numbers appearing on throwing the two dice are different. Find the probability of the event ‘the sum of numbers on the dice is 4’.
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A factory has two machines A and B. Past record shows that machine A produced 60% of the items of output and machine B produced 40% of the items. Further, 2% of the items produced by machine A and 1% produced by machine B were defective. All the items are put into one stockpile and then one item is chosen at random from this and is found to be defective. What is the probability that it was produced by machine B?
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Bag I contains 3 red and 4 black balls and Bag II contains 5 red and 6 black balls. One ball is drawn at random from one of the bags and is found to be red. Find the probability that it was drawn from Bag II.
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In a hockey match, both teams A and B scored same number of goals up to the end of the game. So to decide the winner, the referee asked both the captains to throw a die alternately and decided that the team, whose captain gets a six first, will be declared the winner. If the captain of team A was asked to start, find their respective probabilities of winning the match.
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• 15.
Find the mean number of heads in three tosses of a fair coin.
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