1.

Determine the minimum number of dice when we throw all of them we have at least a 50% chance of getting 6.

Answer» P(1 time6)+P(2 time 6)...+P(n times 6)`>=1/2`
`1-P(no6)>=1/2`
`1-(1-1/6)^n>=1/2`
`1-1/2>=(5/6)^n`
`1/2>=(5/6)^n`
`1/2=(5/6)^n`
`-log2=n(log5-log6)`
`-3.0=n(log10-log2-log2-log3)`
`30=n(1-0.3-0.3-0.479)`
`n=3.79`
`n>=3.79`
`n=4`


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