Question 206406This question is from textbook New Syllabus Mathematics D
: I am unable to solve this question. Please help me know how to solve it.
A fair coin is thrown and a card is picked from a suit of 13 diamonds of well-shuffled playing cards. List the sample space. Find the probability of getting
(a) A head and a red card
(b) A tail and an ace,
(c) A head and a picture card,
(d) A tail and a card bearing a number divisible by 3,
(e) A head and a queen of heart.
This question is from textbook New Syllabus Mathematics D
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A fair coin is thrown and a card is picked from a suit of 13 diamonds of well-shuffled playing cards. List the sample space. Find the probability of getting
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These are independent events because the sample space for each share no
common elements.
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(a) P(A head and a red card)=P(head)*P(red) = 1/2*1 = 1/2
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(b) P(A tail and an ace) = P(tail)*P(ace) = 1/2 * 1/13 = 1/26
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(c) P(A head and a picture card)= P(head)*P(picture) = 1/2 * 3/13 = 3/26
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(d) P(A tail and a card bearing a number divisible by 3) = (1/2)*3/13=3/26
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(e) P(A head and a queen of heart) = P(head)*P(queen) = 1/2*1/13 = 1/26
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Cheers,
Stan H.
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