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Out of 6 green ball, 4 blue ball, in how many ways we select one or more balls ?
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Explanation :7*5 = 35
35 – 1 = 34
P and Q throw a dice.Find the probability that P’s throw is not greater than Q’s through
Explanation :
A B
1 1 2 3 4 5 6
2 2 3 4 5 6
3 3 4 5 6
4 4 5 6
5 56
6 6
n(E) = 21
n(S) = 36
P = 21/36 = 7/12
An unbiased die is tossed. Find the probability of getting of getting a multiple of 2.
2, 4,6 multiple of 3
n(E) = 3
n(S) = 6
p = 3/6 = 1/2
A bag contains 3 green, 5 black and 4 brown balls. 3 balls are drawn randomly. What is the probability that balls drawn contain different colours of balls?
Toatal numbers of balls = 12
n(S) = 12C3 = 220
n(E) = 3C1 ×5C1×4C1 = 4 × 3 × 5 = 60
P = 60/220 = 3/11
A bag contain 2 red, 3 blue and 6 green plates. One plate is taken up randomly. What is the probability that it is neither red nor green ?
n(S) = 2+3+6 = 11
P = 3/11
In a college 10% of the students speaking English, 70% speaking Hindi and 10% speaking both.If a students is selected at random, what is the probability of the students who speak English or Hindi ?
P(a) = 10/100 = 1/10
P(b) = 70/100 = 7/10
P(both) = 10/100 = 1/10
P(a U b) = (1+7-1)/10 = 7/10
A bag contains 4 pink dresses, 5 red shirts and 3 yellow shirts. 3 dresses are drawn randomly. What is the probability that exactly one of them is pink ?
Total no of shirts = 12C3 = 220
4c1 × 8c2 = 112
P = 112/220 = 56/110
A bag contain 2 red, 3 blue and 6 green plates. One plate is taken up randomly. What is the probability that it is either red or green ?
Total = 2+3+6 = 11
either red nor green = 2+6 = 8
p = 8/11
In a box 4 blue pens, 3 red pens and 5 black pens. If 2 pens taken from the box, What is the probability that both of them are same colour pens ?
4c2 + 3c2 + 5c2 = 6+3+10 = 19
12c2 = 66
P = 19/66
From a pack of 52 cards, 3 cards are drawn together at random, What is the probability of both the cards are king ?
n(S) = 52C3 = 132600/6 = 22100
n(E) = 4C3 = 24/6 = 4
p = 4/22100 = 1/5525
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