Mathematics: If you roll two fair six sided dice what s the probability that both dice show an odd number

If you roll two fair six sided dice what s the probability

lucylooe11

14.03.2022

Answer with explanation:

When a die is thrown once, total possible outcome ={1,2,3,4,5,6}=6

Total number of odd number in total possible outcome when a die is thrown once ={1,3,5}=3

Probability of an event

$=\frac{\text{Total Possible Outcome}}{\text{Total favorable outcome}}$

Probability of getting an Odd number when a Dice is thrown once

$=\frac{3}{6}\\\\=\frac{1}{2}$

So, When a two fair six sided dice is rolled, the probability that both dice show an odd number

$=\frac{1}{2}\times \frac{1}{2}\\\\=\frac{1}{4}$

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hdjsjfjruejchhehd

14.03.2022

$\dfrac{1}{4}$

Step-by-step explanation:

If we roll two fair six sided dice, then the total number of possible outcomes :-

$6\times6=36$ ( by fundamental principle of counting.)

Total Odd numbers (1,3,5)= 3

Favorable outcomes for both dice show an odd number = $3\times3=9$ ( by fundamental principle of counting.)

Now, the probability that both dice show an odd number :-

$\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}\\\\=\dfrac{9}{36}=\dfrac{1}{4}$

Hence, the probability that both dice show an odd number $=\dfrac{1}{4}$

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sk9600930

03.04.2022

yes, the answer is c. Enjoy

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