#l The letters of the word SUMMER are printed on 6 cards.
(a) A card is chosen at random. Write down the probability that it has the letter R printed on it.
(b) Find the probability that the card chosen at random does not have the letter M printed on it.
(c) Find the probability that the letter printed on the card chosen at random has no lines of symmetry.
(d) Chris chooses a card at random, replaces it, then chooses a card again. Calculate the probability that only one of the cards she chooses has the letter M printed on it.
(e) Graham chooses a card at random and does not replace it. He continues until he chooses a card with the letter M printed on it. Find the probability that this happens when he chooses the 3rd card.
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Answer:
a)1/6
b)2/3
c)1/6
d)1/9
e)1/15
Step-by-step explanation:
i)R is one out of the 6 letters
Hence probability is 1/6
ii)m is 2 out of the 6
Probability of m missing =6/6-2/6
=4/6
=2/3
iii) R has no lines of symmetry
=1/6
iv)=2/6*2/6=4/36
=1/9
v)2/6*2/5*2/4
=1/15
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