# Which of the following arguments are correct and which are not correct? Give reasons for your answer.

If a die is thrown, there are two possible outcomes- an odd number or an even number. Therefore, the probability of getting an odd number is $\frac{1}{2}$.

Given:

If a die is thrown, there are two possible outcomes- an odd number or an even number. Therefore, the probability of getting an odd number is $\frac{1}{2}$.

To do:

We have to find whether the given statement is true or false.

Solution:

When a die is thrown, the total possible outcomes are 1, 2, 3, 4, 5 and 6.

This implies,

The total number of possible outcomes $n=6$.

We know that,

Probability of an event $=\frac{Number\ of\ favourable\ outcomes}{Total\ number\ of\ possible\ outcomes}$

Therefore,

Probability of getting an odd number $=\frac{3}{6}=\frac{1}{2}$

Therefore, the given statement is true.

Related Articles

- Which of the following arguments are correct and which are not correct? Give reasons for your answer.(i) If two coins are tossed simultaneously there are three possible outcomes- two heads, two tails or one of each. Therefore, for each of these outcomes, the probability is $\frac{1}{3}$.(ii) If a die is thrown, there are two possible outcomes- an odd number or an even number. Therefore, the probability of getting an odd number is $\frac{1}{2}$.
- Examine each of the following statements and comment: If a die is thrown once, there are two possible outcomes -an odd number or an even number. Therefore, the probability of obtaining an odd number is \( \frac{1}{2} \) and the probability of obtaining an even number is \( \frac{1}{2} . \)
- A die is thrown once. Find the probability of getting an odd number.
- A die is thrown. Find the probability of getting an even prime number.
- A die is thrown once. Find the probability of getting (i) a prime number; (ii) a number lying between 2 and 6; (iii) an odd number
- A dice is thrown. Find the probability of getting an even number.
- Every even number is followed by an odd number and every odd number is followed by an even number. What is the meaning ?
- When a dice is thrown once, find the probability of getting an even number.
- State whether the following statements are True or False:(a) The sum of three odd numbers is even.(b) The sum of two odd numbers and one even number is even.(c) The product of three odd numbers is odd.(d) If an even number is divided by 2, the quotient is always odd.(e) All prime numbers are odd.(f) Prime numbers do not have any factors.(g) Sum of two prime numbers is always even.(h) 2 is the only even prime number.(i) All even numbers are composite numbers.(j) The product of two even numbers is always even.
- A die is thrown. Find the probability of getting a prime number.
- A die is thrown. Find the probability of getting a composite number.
- The probability of getting an even number, when a dice is thrown once, is:$( A)\frac{1}{2}$$( B)\frac{1}{3}$$( C)\frac{1}{6}$$( D)\frac{5}{6}$
- A die is thrown. Find the probability of getting a number lying between 2 and 6.
- Construct an NFA accepting strings with an even number of 0s or an odd number of 1s
- A die is thrown once. Find the probability of getting a number lying between 2 and 6.

##### Kickstart Your Career

Get certified by completing the course

Get Started
To Continue Learning Please Login

Login with Google