Respuesta :
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
[tex]=\frac{\text{Total Possible Outcome}}{\text{Total favorable outcome}}[/tex]
Probability of getting an Odd number when a Dice is thrown once
[tex]=\frac{3}{6}\\\\=\frac{1}{2}[/tex]
So, When a two fair six sided dice is rolled, the probability that both dice show an odd number
[tex]=\frac{1}{2}\times \frac{1}{2}\\\\=\frac{1}{4}[/tex]
The probability that both dice are thrown shows an odd number is equal to one and a half that is 1/2.
When a die is thrown once, total possible outcome
={1,2,3,4,5,6}
=6
Total number of odd numbers in total possible outcome when a die is thrown once
={1,3,5}
=3
What is the probability of an event?
The probability of an event is given by
Total possible outcome/Total favorable outcome
Probability of getting an Odd number when a Dice is thrown once
=3/6
=1/2
So, When two fair six-sided dice are rolled,
The probability that both dice show an odd number
=1/2×1/2
=1/4
Therefore, the probability that both dice show an odd number is 1/2.
To learn more about the probability visit:
https://brainly.com/question/25870256#SPJ3
