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Probability — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsProbability1 Mark
Question
Choose the correct answer from the given four options.
The probability that a person is not a swimmer is 0.3. The probability that out of 5 persons 4 are swimmers is:
  1. ${^5}\text{C}_4(0.7)^4(0.3)$
  2. ${^5}\text{C}_1(0.7)^4(0.3)^4$
  3. ${^5}\text{C}_4(0.7)(0.3)^4$
  4. $(0.7)^4(0.3)$
✓

Answer

  1. ${^5}\text{C}_4(0.7)^4(0.3)$

Solution:

Here, $\bar{\text{p}}=0.3\Rightarrow\text{p}=0.7$

and $\text{q}=0.3,\text{n}=5$ and $\text{r}=4$

$\therefore$ Required probability $={^5}\text{C}_4(0.7)^4(0.3)$

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