Mathematics - Online Test
Q1. Let A and B be independent events with P (A) = 0.3 and P(B) = 0.4. Find P(B|A).
Answer : Option A
Explaination / Solution:
Let A and B be independent events with P (A) = 0.3 and P(B) = 0.4. P(B/A)=P(B)=0.4
Q2. Let f (x) = and g (x) = then
Answer : Option B
Explaination / Solution:
No Explaination.
Q3. If A and B are two events such that P(A) = ¼ , P(B) = ½ and , Find P(not A and not B ) .
Answer : Option A
Explaination / Solution:
Since A and B are independent events .
not A and not B are also independent events .
not A and not B are also independent events .
Q4.
Suppose that g (x) = 1 + and f ( g (x)) = 3 + 2 + x, then f (x) is
Answer : Option C
Explaination / Solution:
No Explaination.
Q5. If A and B are two events such that A ⊂ B and P(B) ≠ 0, then which of the following is correct?
Answer : Option A
Explaination / Solution:
since A⊂B A⋂B=AP(A/B)=P(A⋂B)P(B)=P(A)P(B)
Q6. If f : [1, [2, ) is given by equals]
Answer : Option C
Explaination / Solution:
No Explaination.
Q7. The probability of obtaining an even prime number on each die , when a pair of dice is rolled, is given by :
Answer : Option A
Explaination / Solution:
Clearly , n(s) =36. Favourable cases are { 2, 2 } Therefore required probability = 1/36 .
Q8. The minimum value of (x -α) (x – β) is
Answer : Option D
Explaination / Solution:
No Explaination.
Q9. A bag contains 4 red and 4 black balls, another bag contains 2 red and 6 black balls. One of the two bags is selected at random and a ball is drawn from the bag which is found to be red. Find the probability that the ball is drawn from the first bag.
Answer : Option A
Explaination / Solution:
Q10.
If f (x) = for 0 < x <, then
Answer : Option C
Explaination / Solution:
No Explaination.
