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Novosadov [1.4K]
3 years ago
15

3 balls are randomly drawn from a box containing 4 yellow 2 blue and 5 red balls. Youwin a prize if all three are yellow. What i

s the probability of winning?
Mathematics
1 answer:
madreJ [45]3 years ago
6 0

Answer: \dfrac{4}{165}

Step-by-step explanation:

Given : The number of yellow balls in the box = 4

The total number of balls = 4+2+5=11

Since the given situation has dependent events.

Then, the probability of that all three balls are yellow is given by :-

\text{P(YYY)}==\dfrac{^4P_3}{^{11}P_3}=\dfrac{4\times3\times2}{11\times10\times9}\\\\\Rightarrow\ \text{P(YYY)}=\dfrac{4}{165}

Hence, the probability of winning =\dfrac{4}{165}

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