The probability of getting number 5 rolled 6 times is 1/500.
Here, Total rolls = 10 times
Probability of getting 5 on one roll = 1/6
Probability of not getting 5 on one roll = 5/6
Total Probability for getting 5 6 times after rolled 10 times
= ¹⁰C₆(1/6)⁶(5/6)⁴
= 210 X (0.167)⁶(0.833)⁴
= 0.002
= 1 / 500
Thus, the probability of getting number 5 rolled 6 times is 1/500.
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