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Probability

Date post: 09-Dec-2014
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A simple illustration of probability is given by the experiment of tossing a coin. The sample space consists of one of two outcomes—heads or tails. For a perfectly symmetrical coin, the likely assignment would be 1-2 for heads, 1-2 for tails. The probability measure of an event is sometimes defined as the ratio of the number of outcomes
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Ramachandra
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Page 1: Probability

Ramachandra

Page 2: Probability

Definition

Probability  is a measure or estimation of how likely it is that/some event(s) will happen or that a statement is true.

Max Value > 0 and≤ 1

Page 3: Probability

Probability in Sholay

If a coin has same both sides, the chances of head is always=P(Head)=1

Page 4: Probability

Probability in Sholay

If a coin has same both sides, the chances of A tail is always=P(Tail)=0

Page 5: Probability

P(Head) or (tail)

P(Head) or P(Tail)=0.5

Page 6: Probability

In a statistical experiment ∑P(P1+P2……………PN)=1

P(Head)+P(Tail)=0.5+0.5=1

Page 7: Probability

Tiny Example

Red,=2,Green=3 & blue=5. If you randomly select 1 marble, probability of that it would be green is ?Answer:

10 equally likely outcomes three of which are green marblesP( green )= 3/10= 0.30.

10 marbles

P(Desired one) = ( Number of desired in urn) / ( Total number of equally likely outcomes ) = D / N

Page 8: Probability

If a coin is tossed n times(≥2) then A coin is tossed three times. What is the

probability that it lands on heads exactly one time? (A) 0.125 

(B) 0.250 (C) 0.333 (D) 0.375 (E) 0.500

Solution Answer is (D) Outcomes: HHH+HHT+ HTH+THH+ HTT+ THT+

TTH+TTT=8. Of the 8 possible outcomes, 3 have exactly one

head= HTT, THT, and TTH,then probability that three flips of a coin will produce exactly one head is 3/8 = 0.375.

Page 9: Probability

This tiny information is a seed......Nurture it.


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