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A box contains 2 red balls, 3 blue balls and 4 black balls. 3 balls are drawn at random. Find the probability that all balls are blue?
- a)9/81
- b)5/84
- c)1/81
- d)none of these
Correct answer is option 'D'. Can you explain this answer?
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A box contains 2 red balls, 3 blue balls and 4 black balls. 3 balls ar...
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Explanation:
- First, we need to find the total number of ways to draw 3 balls out of 9 (2 red, 3 blue, 4 black), which can be calculated using combinations. This is denoted as C(9,3) = 84.
- Next, we need to find the number of ways to draw all 3 blue balls out of the 3 blue balls available, which is simply 1.
- Therefore, the probability of drawing all blue balls is the number of favorable outcomes (1) divided by the total number of possible outcomes (84), which gives us 1/84.
Therefore, the correct answer is option 'D' - none of these.
- First, we need to find the total number of ways to draw 3 balls out of 9 (2 red, 3 blue, 4 black), which can be calculated using combinations. This is denoted as C(9,3) = 84.
- Next, we need to find the number of ways to draw all 3 blue balls out of the 3 blue balls available, which is simply 1.
- Therefore, the probability of drawing all blue balls is the number of favorable outcomes (1) divided by the total number of possible outcomes (84), which gives us 1/84.
Therefore, the correct answer is option 'D' - none of these.
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