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0 votes
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in Probability by (48.1k points)
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In a single throw of two dice, find the probability of getting a total of 3 or 5.

(a) 1/3

(b) 5/6

(c) 1/9

(d) 1/6

2 Answers

+1 vote
by (49.2k points)
selected by
 
Best answer

Correct option is (d) 1/6

There are 6 faces of one dice.

∴ When 2 die are thrown the number of total elementary events = 6 × 6 = 36.

In order to get a total of 3  the events are

(1, 2), (2, 1) = 2 events.

In order to get a total of 5  the events are

(2, 3), (4, 1), (3, 2), (1, 4) = 4 events.

∴ The total number of favourable evets = 2 + 4 = 6.

∴ The probability of getting a total of 3 or 5

\(=\frac{\text{number of favourable events}}{\text{number of elementary events}}\)

\(= \frac 6{36}\)

\(= \frac 16\)

+1 vote
by (15.5k points)

2 ways to get a three and 4 ways to get a five, so 6 ways to get a total of three or five.

Correct answer is 6/36 or: (d) 1/6

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