Question

MATH'S ASSIGNMENT Topic: Probability Question 1. Write the sample space for these experiments a. Throwing two dice b. Throwing two coins c. Throwing coin three times and writing the output d. A die is thrown repeatedly until a six comes up e. A coin is tossed until head comes up f. A die is numbered in such a way that its faces show the numbers 1,2,2, 3, 3, 6. It is thrown twice and the total score in two throws is noted   Question 2. A box contains 12 balls out of which x are black. if one ball is drawn at random from the box what is the probability that it will be a black ball? If 6 more black balls are put in the box, the probability of drawing a black ball is now double of what it was before. Find x. Question 3 A box contains 24 balls. Some are blue and the others are green. If a ball is drawn at random, the probability that it is green is 3/2 . Find the number of blue balls and green balls in the box Question 4 Which of the following cannot be the probability of an event? (a)1/4 (b) 0.6 (c) 5 % (d)20/19   Question 5  True and False statement a. The probability of getting a number between 1 and 25 which is prime is 9/23 b. Probability of impossible event is 1 c. Probability of any event lies between 0 and 1 d. The probability of the occurrence of an event is always one minus the probability that it doesn't occur. Question 6 Two dice are rolled, find the probability that the sum is  a. equal to 1  b. equal to 4  c. less than 13   Question 7 A die is rolled and a coin is tossed, find the probability that the die shows an odd number and the coin shows a head. Question 8 Cards numbered from 11 to 60 are kept in a box. If a card is drawn at random from the box.Find the probability thta the number on the drawn card is i. An odd number ii. A perfect square number iii. divisible by 5 iv. A prime number less that 20 Question 9 A dice is rolled twice. Find the probability that i. 5 will not come either time ii. 5 will come exactly one time   Question 10 A number is selected at random from the numbers 1 to 30. The probability that it is a prime number is a. 11/30 b. 1/6 c. 2/3 d. 1/3

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