Suppose there are two events E and F where P(E)=1/3 and P(F)=2/3 , is F not the same as ‘not E’? Yes, it is. We denote the event
‘not E’ by `barE` .
So, P(E)+P(not E)=1
`P(E)+P(barE)=1`, Which gives us `P(barE)=1-P(E)` In general, it is true that for an event E,
The event E , representing ‘not E’, is called the complement of the event E. We also say that E and E are complementary events.
Shaalaa.com | Probability of the Complement of an Event
A card is drawn from a well shuffled pack of 52 cards. Find the probability that the card drawn is:
ace and king
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From 25 identical cards, numbered 1, 2, 3, 4, 5, ……, 24, 25: one card is drawn at random. Find the probability that the number on the card drawn is a multiple of:
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A bag contains 3 red balls, 4 blue balls and 1 yellow ball, all the balls being identical in shape and size. If a ball is taken out of the bag without looking into it; find the probability that the ball is:
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