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A wooden cask...

Question

A wooden cask contains some tools i.e. exactly 12 nuts and 24 bolts. ${(\frac{1}{3})}^{r d}$ of each of these are defective. If 2 tools are picked up one after the other without replacement, then what is the probability that both are not defective?

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Solution

The correct option is C
Out of the 12 nuts, 4 are defective and out of the 24 bolts, 8 are defective the probability of picking up both non-defective tools = $\frac{24}{36}$ $\times$ $\frac{23}{135}$ = $\frac{49}{105}$

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A wooden cask contains some tools i.e. exactly 12 nuts and 24 bolts. (13)rd of each of these are defective. If 2 tools are picked up one after the other without replacement, then what is the probability that both are not defective?

The correct option is C Out of the 12 nuts, 4 are defective and out of the 24 bolts, 8 are defective the probability of picking up both non-defective tools = 2436 × 23135 = 49105

A wooden cask contains some tools i.e. exactly 12 nuts and 24 bolts. ${(\frac{1}{3})}^{r d}$ of each of these are defective. If 2 tools are picked up one after the other without replacement, then what is the probability that both are not defective?

The correct option is C
Out of the 12 nuts, 4 are defective and out of the 24 bolts, 8 are defective the probability of picking up both non-defective tools = $\frac{24}{36}$ $\times$ $\frac{23}{135}$ = $\frac{49}{105}$