Lakshya Education MCQs

Question: An urn contains 6 red, 5 blue and 2 green marbles. If three marbles are picked at random, what is the probability that at least one is blue?
Answer: Option D

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Question 1. Two brother X and Y appeared for an exam. Let A be the event that X is selected and B is the event that Y is selected.
The probability of A is $$\frac{{1}}{{7}}$$ and that of B is $$\frac{{2}}{{9}}$$. Find the probability that both of them are selected.
  1.    $$\frac{{1}}{{63}}$$
  2.    $$\frac{{2}}{{35}}$$
  3.    $$\frac{{2}}{{63}}$$
  4.    $$\frac{{9}}{{14}}$$
Answer: Option C
Question 2. A bag contains 21 toys numbered 1 to 21. A toy is drawn and then another toy is drawn without replacement.
Find the probability that both toys will show even numbers.
  1.    $$\frac{{5}}{{21}}$$
  2.    $$\frac{{9}}{{42}}$$
  3.    $$\frac{{11}}{{42}}$$
  4.    $$\frac{{4}}{{21}}$$
Answer: Option B
Question 3. Four cards are drawn at random from a pack of 52 playing cards. Find the probability of getting all the four cards of the same suit.
  1.    $$\frac{{13}}{{270725}}$$
  2.    $$\frac{{91}}{{190}}$$
  3.    $$\frac{{178}}{{20825}}$$
  4.    $$\frac{{44}}{{4165}}$$
Answer: Option D
Question 4. A bag contains 7 green and 5 black balls. Three balls are drawn one after the other. The probability of all three balls being green, if the balls drawn are not replaced will be:
  1.    $$\frac{{343}}{{1728}}$$
  2.    $$\frac{{21}}{{36}}$$
  3.    $$\frac{{12}}{{35}}$$
  4.    $$\frac{{7}}{{44}}$$
Answer: Option D
Question 5. Two teams Arrogant and Overconfident are participating in a cricket tournament. The odds that team Arrogant will be champion is 5 to 3, and the odds that team Overconfident will be the champion is 1 to 4. What are the odds that either Arrogant or team Overconfident will become the champion?
  1.    3 to 2
  2.    5 to 2
  3.    6 to 1
  4.    33 to 7
Answer: Option D
Question 6. A five-digit number is formed by using digits 1, 2, 3, 4 and 5 without repetition. What is the probability that the number is divisible by 4?
  1.    $$\frac{{1}}{{5}}$$
  2.    $$\frac{{5}}{{6}}$$
  3.    $$\frac{{4}}{{5}}$$
  4.    None of these
Answer: Option A

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