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Anshul has the option of 12 stocks with 4 stocks each from 3 different companies X, Y, and Z. If Anshul randomly picks up one stock of X then what is the probability of picking second stock of X and third of Z?

Anshul has the option of 12 stocks with 4 stocks each from 3 different companies X, Y, and Z. If Anshul randomly picks up one stock of X then what is the probability of picking second stock of X and third of Z? Correct Answer 6/55

Given:

X = 4 stocks

Z = 4 stocks 

Total stocks = 12

Formula used:

Probability = Favorable events/Total events

Calculation:

Probability of picking up second stock of company X = 3/11

⇒ Probability of picking up third stock of company Z = 4/10

⇒ Required probability = 4 × 3/(11 × 10)

⇒ required probability = 12/ 110

∴ The probability of picking up second stock of X again and third stock of company Z is 6/55

Hint

Probability of picking up the second stock of company X = (4 – 1)/(12 – 1)

Probability of picking up the third stock of company Z = 4/(12 – 2)

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