A die is thrown once. Find the probability to getting
I)A prime number
ii)An even number
iii)An odd number
Answers
Step-by-step explanation:
Dice come in a variety of sizes, with a variety of numbering systems used on them.
The traditional die you may be thinking of has six faces, and is numbered 1 2 3 4 5 6, each digit one time.
The chances of getting a number that fits one of the three types depends on the type in question.
There are 6 faces on the die, and of those, 2, 3, and 5 are prime, resulting in a 3/6 chance of such a roll.
On the same die, there are three odd numbers, 1, 3 and 5, resulting in a 3/6 chance of such a roll
On the same die, there are three even numbers, 2, 4, and 6, again resulting in a 3/6 chance of such a roll.
You may get a number which is both prime and odd. This is true of 3 and 5, or 2/6
You may get a number which is both prime and even. This is true of 2, or 1/6
These latter two facts don’t improve the chances of getting a prime number nor of getting an even number nor of getting an odd number. It’s just an interesting aside, you COULD get two at once. But there are only 3 such results, 2, 3 and 5, and so the odds of getting two at once are still only 3/6
But that’s not the question you asked. Given the numbers 1 2 3 4 5 6 on a fair die…Of those digits you have NO chance of getting a number that is even, odd, and prime, because no such number exists. I cheated, it doesn’t matter what size die you use, because there actually is no such number.
D4, D8, D10, D20, D34, D100, it really doesn’t matter, because a number which is unobtanium will never be rolled.
For a die with any number of faces n, the chance of rolling an even, odd, and prime number in a single roll is 0/n.
ANSWER
Total outcomes that can occur are 1,2,3,4,5,6
Number of possible outcomes of a dice=6
3) Numbers which are odd=1,3,5
Total numbers which are odd=3
Probability of getting an odd number
=(Number of outcomes where there is an odd)÷(Total number of outcomes)
=
3/6=1/2
2) similarly
even no. =2,4,6
total no. =6
probability getting an even no.
3/6=1/2
1) similarly
prime no. =1,3,5
total no. =6
probability getting a prime number
3/6=1/2
I hope it's help you!!!