SOLUTION: 4. A basket contains 3 red,4 white and 7 yellow beads. Three beads are taken at random without replacement. Calculate the probability of getting
i. Three beads of the same colour
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Question 575674: 4. A basket contains 3 red,4 white and 7 yellow beads. Three beads are taken at random without replacement. Calculate the probability of getting
i. Three beads of the same colour (2 marks)
ii. At least two white beads (2marks)
iii) A red bead followed by a yellow bead. (3marks)
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A basket contains 3 red,4 white and 7 yellow beads. Three beads are taken at random without replacement. Calculate the probability of getting
i. Three beads of the same colour (2 marks)
# of ways to succeed: 3C3+4C3+7C3 = 1 + 4 + 35 = 40
# of random results: 14C3 = 364
P(3 same color) = 40/364
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ii. At least two white beads (2marks)
# of ways to succeed: 4C2 + 4C3 + 4C4 = 6 + 4 + 1 = 11
# of random results: 364
P(at least 2 white) = 11/364
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iii) A red bead followed by a yellow bead. (3marks)
P(yellow | red) = (3/14)(7/13) = 3/26
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Cheers,
Stan H.
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