Home
Class 9
MATHS
A die is thrwon at randow. What is the p...

A die is thrwon at randow. What is the probability of getting an odd number.

Text Solution

AI Generated Solution

The correct Answer is:
To find the probability of getting an odd number when a die is thrown, we can follow these steps: ### Step 1: Identify the total number of outcomes A standard die has 6 faces, numbered from 1 to 6. Therefore, the total number of outcomes when a die is thrown is: - **Total outcomes = 6** (the numbers 1, 2, 3, 4, 5, and 6) **Hint:** Remember that the total outcomes are simply the number of faces on the die. ### Step 2: Identify the favorable outcomes Next, we need to determine which of these outcomes are odd numbers. The odd numbers on a die are: - **Favorable outcomes = 1, 3, 5** (these are the odd numbers) **Hint:** List the odd numbers from 1 to 6 to find the favorable outcomes. ### Step 3: Count the number of favorable outcomes Now we count the favorable outcomes: - There are **3 odd numbers** (1, 3, and 5). **Hint:** Count how many odd numbers you found in the previous step. ### Step 4: Calculate the probability The probability (P) of an event is given by the formula: \[ P(\text{event}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \] Substituting the values we found: \[ P(\text{getting an odd number}) = \frac{3}{6} \] ### Step 5: Simplify the probability Now, we simplify the fraction: \[ P(\text{getting an odd number}) = \frac{3}{6} = \frac{1}{2} \] ### Final Answer The probability of getting an odd number when a die is thrown is: \[ \frac{1}{2} \] ---
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise|12 Videos
  • POLYNOMIALS

    NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise (short Answer Questions)|16 Videos
  • QUADRILATERALS

    NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise (long Answer Questions)|5 Videos

Similar Questions

Explore conceptually related problems

What is the probability of getting a prime number:

A die is thrown once. What is the probability of getting an odd number?

A die is thrown 560 times. The number 6 appears on the upper face 72 times. A die is thrown at random. What is the probability of getting 6.

A die is thrown 260 times. Prime numbers appear on the upper face 39 times. If a dia is thrown at random, what is the probability of getting a prime number?

A die it thrown once. What is the probability of getting a prime number?

A die it thrown once. What is the probability of getting a prime number?

A die is thrown thrice. Find the probability of getting an odd number at least once.

A die is thrown once. What is the probability of getting a number greater than 4?

A die is thrown once. What is the probability of getting a number lying between 2 and 6?

A pair of dice is thrown. What is the probability of getting an even number on the first die or a total of 8?