057 - Problems on Probability

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057 - Problems on Probability

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Question:

1. If a pair of 6-sided dice are rolled, what is the probability of getting the sum of numbers as 5?

	A	1/6
	B	1/12
	C	1/9
	D	5/36

Feedback:

The no. of successful outcomes are 4 (1+4, 2+3, 3+2, 4+1). The total no. of likely outcomes is 36. Hence, probability = 4/36 = 1/9

Correct Answer:	C
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Question:

2. If three 6-sided dice are rolled, what is the probability of getting at least one 6?

	A	1/6
	B	125/216
	C	3/6
	D	91/216

Feedback:

Probability of NOT getting a six on each of the die is 5/6. Therefore probability of NOT getting a 6 at all is (5/6) X (5/6) X (5/6) = 125/216. Subtracting this no. from the total outcomes possible i.e. 216-125 = 91, the probability of getting at least one six is 91/216.

Correct Answer:	D
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Question:

3. If 3 cards are randomly chosen from a deck of 52 playing cards, what is the probability of getting all hearts?

	A	1716/132600
	B	3/52
	C	1716/140608
	D	2197/132600

Feedback:

As each card is drawn, the probability of getting another hearts diminishes in this order: 13/52, 12/51 ,11/50, 10/49 and so on. Hence, the probability of the event of getting 3 hearts is the product of the first three nos.

Correct Answer:	A
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Question:

4. If a card is randomly chosen from a deck of 52 playing cards, what is the probability of getting a hearts or a red?

	A	39/52
	B	1/2
	C	1/4
	D	38/52

Feedback:

Total no. of red cards = 26.
Total no. of hearts = 13
Since red cards include all the hearts as well, the favourable cards for the event are only 26. Therefore probability of getting a hearts or a red is 26/52 = 1/2. This is an example of non-mutually exclusive events.

Correct Answer:	B
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Question:

5. When two events, A and B, are mutually exclusive, the probability that A or B will occur is;

	A	P(A or B) = P(A) + P(B)
	B	P(A or B) = P(A) X P(B)

Feedback:

Probability of occurrence of a set of mutually exclusive events is the sum of the probability of each event.

Correct Answer:	A
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Quiz Info

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Author:	Mohan Sundararaju
Date:	Nov-03-2010
Level:	Easy

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