Advertisements
Advertisements
प्रश्न
Find the probability that a number selected from the number 1 to 25 is not a prime number when each of the given numbers is equally likely to be selected.
उत्तर
Total no. of possible outcomes = 25 {1, 2, 3, … 25}
E ⟶ event of getting a prime no.
No. of favourable outcomes = 9 {2, 3, 5, 7, 11, 13, 17, 19, 23}
Probability, P(E) =`"No.of favorable outcomes"/"Total no.of possible outcomes"` =9/25
(`barE`) ⟶ 𝑒𝑣𝑒𝑛𝑡 𝑜𝑓 𝑛𝑜𝑡 𝑔𝑒𝑡𝑡𝑖𝑛𝑔 𝑎 𝑝𝑟𝑖𝑚𝑒 𝑛𝑜.
𝑃(`barE` ) = 1 − 𝑃(𝐸)
= 1 − 9/25 =16/25
APPEARS IN
संबंधित प्रश्न
It is given that in a group of 3 students, the probability of 2 students not having the same birthday is 0.992. What is the probability that the 2 students have the same birthday?
Two dice (each bearing numbers 1 to 6) are rolled together. Find the probability that the sum of the numbers on the upper-most faces of two dice is 4 or 5.
Each card bears one letter from the word ‘mathematics’ The cards are placed on a table upside down. Find the probability that a card drawn bears the letter ‘m’.
Out of 200 students from a school, 135 like Kabbaddi and the remaining students do not like the game. If one student is selected at random from all the students, find the probability that the student selected dosen't like Kabbaddi.
Cards, marked with numbers 5 to 50, are placed in a box and mixed thoroughly. A card is drawn from the box at random. Find the probability that the number on the card is (i) a prime number less than 10 (ii) a perfect square.
Namita tossed a coin once. What is the probability of getting Head?
A die has 6 faces marked by the given numbers as shown below:
| 1 | 2 | 3 | – 1 | – 2 | – 3 |
The die is thrown once. What is the probability of getting an integer greater than – 3?
Sushma tosses a coin 3 times and gets tail each time. Do you think that the outcome of next toss will be a tail? Give reasons.
Complete the following table.
| Sr. No. | Random experiment | Sample space | Number of sample points in S |
| 1. | One coin is tossed. | S = {H, T} | n(S) = `square` |
| 2. | Two coins are tossed. | S = `square` | n(S) = `square` |
| 3. | Three coins are tossed. | S = {`square`, THH, HTT, THT, TTH, TTT} | n (S) = 8 |
| 4. | A die is thrown. | S = `square` | n(S) = `square` |
A bag contains 6 red, 4 black and some white balls:
- Find the number of white balls in the bag if the probability of drawing a white ball is `1/3`.
- How many red balls should be removed from the bag for the probability of drawing a white ball to be `1/2`?
