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Using the slot method and multiple cases, calculate the probability that you would roll 3 sixes with four standard dice.

Sagot :

MrRoyal

Answer:

[tex]Pr = \frac{1}{216}[/tex]

Step-by-step explanation:

 The sample space of a single dice is:

[tex]S = \{1,2,3,4,5,6\}[/tex]

[tex]n(S) = 6[/tex]

Required:

The probability of rolling 3 sixes

In a sample space of a roll of die, we have:

[tex]n(6) = 1[/tex]

In a roll of dice, the probability of rolling a 6 is:

[tex]P(6) = \frac{n(6)}{n(S)}[/tex]

[tex]P(6) = \frac{1}{6}[/tex]

In 3 rolls, the probability is:

[tex]Pr = P(6)^3[/tex]

[tex]Pr = [\frac{1}{6}]^3[/tex]

[tex]Pr = \frac{1}{216}[/tex]

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