Probability-Important Questions

1.  The record of a weather station shows that out of the past 250 consecutive days, its weather forecast were correct 175 times.

      (i) What is the probability that on a given day it was correct?

      (ii) What is the probability that it was not correct on a given day?

2.  A die is thrown once. Find the probability of getting a prime number.

3.  A coin is thrown once. Find the probability of getting a head.

4.  From a group of 2 boys and 3 girls, we select a child. Find the probability of this child being a girl.

5.  If we throw a die, then the upper face shows 1 or 2; or 3 or 4; or 5 or 6. Suppose we throw a die 150 times and get 2 for 75 times. What is the probability of getting a �2�?

6.  A coin is tossed 200 times and is found tha ta tail comes up for 120 times. Find the probability of getting a tail.

7.  If a coin is tossed for a certain number of times. How many times the coin was tossed, if the probability of getting a head is 0.4 and it appeared up for 24 times?

8.  In a GK test a student was given 50 questions one by one. He gave the correct answer for 30 questions. Find the probability of giving correct answers.

9.  Define a (i) Theorem, (ii) Axiom and (iii) Conjecture.

10.  Prove that the product of two even natural numbers is divisible by 16.