6 Important MCQ on Probability With Solution - Qualifier

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1.
The probability that Alex will solve a problem is 1/5. What is the probability that he solves at least one problem out of 4 problems?

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2.
What is the probability that in the rearrangements of the word AMAZED, the letter ’E’ is positioned in between the 2 ’A’s (Not necessarily flanked)?

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3.
Out of 17 applicants, there are  8 boys and 9 girls. Two persons are to be selected for the job. Find the probability that at least one of the selected persons will be a girl.

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4.
If two dice are thrown simultaneously, then find the probability that the sum of numbers appeared on the dice is 6 or 7?

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5.
In a race where 12 cars are running, the chance that car X will win is 1/6, that Y will win is 1/10 and that Z will win is 1/8. Assuming that a dead heat is impossible, find the chance that one of them will win.

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6.
In his room, Dumbo has three trousers. One of them is black, the second is blue, and the third is brown. In his room, he also has four shirts. One of them is black and the other 3 are white. He opens his room in the dark and picks out one shirt and one trouser pair without examining the colour. What is the likelihood that neither the shirt nor the trouser is black?

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