Probability Test

1) One number is drawn from numbers 1 to 150. Find the probability that it is either divisible by 3 or 5.
2) What is the probability that a letter selected at random in an English book is a vowel.
3) A number was drawn at random from the number 1 to 50. What is the probability that it will be a multiple of 2 or 3 or 10.
4) Suppose that it is 11 to 5 against a person A, who is 38 years of age living till he is 73 and 5 to 3 against a person B now 43 living till he is 78 years. Find the probability that both will die 35 years, hence.
5) A candidate is interviewed for the 3 posts. For the first post, there are 3 candidates, for the second post, there are 4 and for third there are 2. What are the chances that he will get selected?

6) Four cards are drawn without replacement. What is the probability that they are all aces?
7) Find the probability of 53 Sundays in a year selected at random.
8) Two unbiased dice are thrown. Find the probability that both dice show the same number.
9) An urn contains 7 green and 5 red balls. Two balls are drawn at a time. Find the probability that both are of same color.
10) What is the probability of drawing a heart or a king from a pack of cards?
11) A coin is tossed 3 times what is the probability of getting all three heads.
12) A bag contains 4 red, 3 white and 5 blue balls. Two balls are drawn one after another with replacement. Find the prob. That first is red and other is blue.
13) Find the probability of getting 6 at least once in six throws with a single dice.
14) The probability that a boy will get a scholarship is .90 and that girl will get is .80. what is the prob that atleast one of them will get the scholarship?
15) A bag has 5 white and 4 blue balls and 4 balls are drawn successively and not replaced. What is the chance that white and blue will appear alternatively.
16) A speaks truth in 80% cases , B in 90% cases. In what percentage of cases they are likely to contradict each other.
17) Find the probability 53 Fridays in a year selected at random.
18) A single letter selected from the word “PROBABILITY” is a vowel.

19) What is the probability that the sum will be 8 if two dice are tossed.

20) A card is drawn from pack. Find the probability that card is king, a queen or a jack or a card of spade.
21) A bag has 7 white, 5 red and 8 blue balls. Find the probability of balls being white if two are drawn at random.
22) What is the probability of getting a number greater than 4 with an ordinary dice?

23) In a single throw of 2 dice. Find the prob. Of throwing at least 8.
24) What is the probability that vowel selected at random in any English book is an “i.
25) A card is drawn from a pack of cards. Find the prob. That it is king or queen.

ANSWERS
26) 7/15
27) 5/26
28) 33/50
29) 55/128
30) ¾
31) 1/270725
32) 5/28.
33) 1/6
34) 31/66.
35) 4/13
36) 1/8
37) 5/36
38) 1 – (5/6)6
39) 0.98.
40) 5/63
41) 26%
42) 5/28.
43) 4/11
44) 5/36.
45) 11/36
46) 21/190
47) 1/3.
48) 5/12
49) 1/5
50) 8/52.