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Mathematical Skills | Probability

 Q. No. 1: Four different objects 1,2,3,4 are distributed at random in four places marked 1,2,3,4. What is the probability that none of the objects occupy the place corresponding to its number? A : 17/24 B : 3/8 C : 1/2 D : 5/8 Solution
 Q. No. 2: There are 6 positive and 8 negative numbers. Four numbers are chosen at random and multiplied. The probability that the product is a positive number is A : 500/1001 B : 503/1001 C : 505/1001 D : 101/1001 Solution
 Q. No. 3: A bag contains 3 white balls and 2 black balls. Another bag contains 2 white and 4 black balls. A bag and a ball are picked random. The probability that the ball will be white is A : 7/11 B : 7/30 C : 5/11 D : 7/15 Solution
 Q. No. 4: One hundred identical coins each with probability 'p' showing up heads and tossed. If 0
 Q. No. 5: The probability that a student is not a swimmer is 1/5. Then the probability that one of the five students, four are swimmers is A : 5C4(4/5)2(1/5) B : (4/5)4(1/5) C : 5C4(1/5)(4/5)4 D : None of these Solution
 Q. No. 6: If the probability that X will live 15 year is 7/8 and that Y will live 15 years is 9/10, then what is the probability that both will live after 15 years? A : 1/20 B : 63/80 C : 1/5 D : None of these Solution
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