How would we calculate the probability of getting 2 or more sixes in four rolls of a sixsided die by using a formula?
STEP 1
Then, we'll calculate the number of ways we can choose 2, 3 or 4 elements from a set of 4 elements.
Choosing 2 elements from a set of 4 = 6 ways
STEP 2
Here, the probability ('p') is 1/6 or .166666666, the number of successes ('r') is 2 and the number of attempts or trials ('n') is 4.
STEP 3
STEP 4
Now we sum the probabilities:
2 sixes = 0.1157407407 Which totals 0.1319444444061731
In these next pages, we have calculated the occupancy probabilities of rolling dice that have 4, 6, 8, 12 and 20 sides. (If you are wondering, these would be dice that are in the shape of the 5 Platonic Solids.) (Tetrahedron, Hexahedron, Octahedron, Dodecahedron, Icosahedron)
4 Sided Die Probability of all 4 numbers in 7 Rolls 6 sided die Probability of all 6 numbers in 13 Rolls 8 Sided Die Probability of all 8 numbers in 20 Rolls 12 Sided Die Probability of all 12 numbers in 35 Rolls 20 Sided Die Probability of all 20 numbers in 67 Rolls

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