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555-605 Level|   Probability|      
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Bunuel
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Two fair six-sided dice, each numbered 1 to 6, are rolled once. What 13 Sep 2022, 15:13
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D
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Two fair six-sided dice, each numbered 1 to 6, are rolled once. What is the probability of getting less than two even numbers ?

A. 1/8
B. 1/4
C. 1/2
D. 3/4
E. 8/9


 


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Two fair six-sided dice, each numbered 1 to 6, are rolled once. What 14 Sep 2022, 01:16
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possible pairs
( O,O ) ; 3/6 * 3/6 ; 1/4
( O,E) ; 3/6 * 3/6 * 2! ; 1/2
total possible ways ; 1/4 + 1/2 ; 3/4
option d

Bunuel
Two fair six-sided dice, each numbered 1 to 6, are rolled once. What is the probability of getting less than two even numbers ?

A. 1/8
B. 1/4
C. 1/2
D. 3/4
E. 8/9


 


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Two fair six-sided dice, each numbered 1 to 6, are rolled once. What 18 Sep 2022, 06:45
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possible pairs:-

( O, O ) ; 3/6 * 3/6; 1/4
( O, E ) ; 3/6 * 3/6; 1/4
( E, O ) ; 3/6 * 3/6; 1/4

Total possible ways; 1/4 + 1/4 + 1/4 = 3/4
Hence, option D
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Two fair six-sided dice, each numbered 1 to 6, are rolled once. What 09 Dec 2024, 19:34
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Method 1: Logic

Two fair six-sided dice, each numbered 1 to 6, are rolled once. What is the probability of getting less than two even numbers

As we are rolling two fair dice so there is equal probability of getting any of the following cases
(E,E), (E,O), (O,E), (O,O) where O is Odd and E is Even

P(Getting Less than 2 even) = Probability of getting (E,O), (O,E), (O,O) = \(\frac{3}{4}\)

Method 2: Algebra

Two fair six-sided dice, each numbered 1 to 6, are rolled once.

As we are rolling 2 dice => Number of cases = \(6^2\) = 36

What is the probability of getting less than two even numbers

P(Less than two even) = 1 - P(2 even)

We have two places and we can get even in both the places
=> Number of cases = 3*3 = 9
[ as we have 3 even numbers 2, 4, 6 ]

P(Getting Less than 2 even) = 1 - P(2 even) = 1 - \(\frac{9}{36}\) = 1 - \(\frac{1}{4}\) = \(\frac{3}{4}\)

So, Answer will be D
Hope it helps!

Watch the following video to learn How to Solve Dice Rolling Probability Problems

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