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JEE Main 2020Mathematics Probability & Statistics

medium
mcq
2020
Official previous-year question

Verified 30 May 2026.

Question

A die is thrown $6$ times. The probability of getting at least one six is:

Options

  1. A

    $1 - \left(\frac{5}{6}\right)^6$

  2. B

    $\left(\frac{1}{6}\right)^6$

  3. C

    $1 - \left(\frac{1}{6}\right)^6$

  4. D

    $6 \cdot \frac{1}{6}$

Solution

$P(\text{at least one 6}) = 1 - P(\text{no 6 in any throw})$

$$= 1 - \left(\frac{5}{6}\right)^6$$

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