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

Question

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

Archit3110 · Answer

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

RushilVasudev · Answer

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

BrushMyQuant · Answer

↧↧↧ Detailed Video Solution to the Problem ↧↧↧

https://www.youtube.com/watch?v=ROM4pL33obQ

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

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!

Playlist on Solved Problems on Probability  here

Watch the following video to MASTER Dice Rolling Probability Problems

https://www.youtube.com/watch?v=5PVZYQXet18

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

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

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