## 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?
Options:
 A. $$\frac{{28}}{{143}}$$ B. $$\frac{{115}}{{97}}$$ C. $$\frac{{28}}{{197}}$$ D. $$\frac{{115}}{{143}}$$

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## More Questions on This Topic :

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.    $$\frac{{9}}{{14}}$$
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.    $$\frac{{4}}{{21}}$$
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.    $$\frac{{44}}{{4165}}$$
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.    $$\frac{{7}}{{44}}$$
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
1.    $$\frac{{1}}{{5}}$$
2.    $$\frac{{5}}{{6}}$$
3.    $$\frac{{4}}{{5}}$$