Classical Definition of Probability
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How do you find the probability of combinations?
A three digit number is formed by using numbers and . The probability that the number is divisible by , is
Seven digits from the numbers are written down non-repeatedly in a random order to form a seven-digit number. The probability that this seven-digit number is divisible byis.
- 1731
- 1132
- 1631
- 12
- 316
- 116
- 1516
- 117
Two dice are rolled simultaneously. The probability that the sum of the two numbers on the top faces will be at least 10 is
16
112
1118
None
Step 1. Flip a fair coin twice.
Step 2. If the outcomes are (TAILS, HEADS), then output Y and stop.
Step 3. If the outcomes are either (HEADS, HEADS) or (HEADS, TAILS), then output N and stop.
Step 4. If the outcoms are (TAILS, TAILS), then go to Step 1..
The probability that the output of the experiment is Y is 1k. Then k is
Box I contain three cards bearing numbers 1, 2, 3; box II contains five cards bearing numbers 1, 2, 3, 4, 5; and box III contains seven cards bearing numbers 1, 2, 3, 4, 5, 6, 7. A card is drawn from each of the boxes. Let xi be the number on the card drawn from the ith box i=1, 2, 3.
The probability that x1+x2+x3 is odd, is ?
29105
53105
57105
12
- 6527
- 13529
- 6528
- 3527
- 1−(1415)3
- (115)3
- 15
- 1415
- 110
- 111
- 112
- 117
A bag contains 4 white, 3 red and 2 blue balls. A ball is drawn at random. Find the probability of the event 'the ball drawn is white or red'.
79
47
34
12
- 833
- 4091
- 5191
- 12
- 13
- 14
- 16
- 136
(Here, O is the origin)
- 2738
- 34
- 1419
- 1519
- 821
- 619
- 524
- 922
An urn contains 7 red and 4 blue balls. Two balls are drawn at random with replacement. If the probability of getting 2 red balls is P(A), find 121×P(A).
Five persons entered the lift cabin on the ground floor of an 8 floor house. Suppose that each of them independently and with equal probability, can leave the cabin at any floor beginning with the first. Find out the probability of all five persons leaving at different floors.
=8P575
=7P585
=8P585
=7P575
- 57648
- 73648
- 575648
- None
- 13
- 516
- 14
- 415
- 12
- 1021
- 15
- 1121
- 0.07
- 0.067
- 0.67
- None
- 59
- 27216
- 49
- 23
In throwing a pair of dice, find the probability of getting an odd number on the first die and a total of 7 on both the sides.
34
736
112
116
- 116
- 316
- 1516
- 117