Solution: 2 red, 3 green, and 2 blue balls are there. So the probability of getting no blue ball is not selecting any blue ball among the two chosen balls hence 5C2.
5C2/7C2 = 10/21.
7C2 because we can select any 2 balls from 7 balls in that number of ways.
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SHSTTON
107
Solv. Corr.
161
Solv. In. Corr.
268
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3 / 9
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There is a toy train that can make 10 musical sounds. It makes 2 musical sounds after being defective. What is the probability that same musical sound would be produced 5 times consecutively?
Probability of finding remaining 10 children to get a boy is-
so (1/2)^10=1/1024.
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33
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83
Solv. In. Corr.
116
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5 / 9
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For the FIFA world cup, Paul the octopus has been predicting the winner of each match with amazing success. It is rumored that in a match between 2 teams A and B, Paul picks A with the same probability as A's chances of winning. Let's assume such rumors to be true and that in a match between Ghana and Bolivia, Ghana the stronger team has a probability of 2/3 of winning the game. What is the probability that Paul will correctly pick the winner of the Ghana-Bolivia game?
Let Paul picks Ghana then probability that its prophecy will be true is 2/3*2/3 =4/9.
Now it may pick up Bolivia and the chances of winning are 1/3*1/3=1/9
So total probability will be 4/9 1/9=5/9
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54
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104
Solv. In. Corr.
158
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After the typist writes 12 letters and addresses 12 envelopes, she inserts the letters randomly into the envelopes (1 letter per envelope). What is the probability that exactly 1 letter is inserted in an improper envelope?
If one letter is put in a wrong envelope, then one other letter must also be put in the wrong envelope. So zero is the probability that exactly 1 letter is inserted in an improper envelope because it's not possible.
Workspace
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83
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115
Solv. In. Corr.
198
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A 5-digit number is formed by the digits 2,4,5,6,8 (each digit used exactly once) . What is the probability that the number formed is divisible by 4 ?
A no. is divisible by 4 if last two digit is divisible by 4
so numbers ending with 24,28,48,52,56,64,68,84 are divisible by 4
last two places are fixed by 24,28,48,52,56,64,68,84
so remaining 3 places can be filled in 3! ways for each
total=8*3!=48=n(E)
n(S) = 5!
so
= n(E)/n(S)
=48/120=2/5
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SHSTTON
10
Solv. Corr.
95
Solv. In. Corr.
105
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Aniket and kumari are a married couple. They have two kids, one of them is a girl. Assume safely that the probability of each gender is 1/2.What is the probability that the other kid is also a girl?
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