Question

Maddy is playing a game where she must roll a 3 or a 5 with one die to win. What isthe probability that in 6 turns, she has won three times? [2 marks]

Answer 1

Solution.

The prolem will be soved using binomial distribution concept

The binomial formula is

For the question before us,

`\begin{gathered} n=6 \\ x=3 \\ p=(2)/(6)=(1)/(3) \\ q=1-(1)/(3)=(2)/(3) \end{gathered}`
`\begin{gathered} P(3)=^6C_3((1)/(3))^3((2)/(3))^3 \\ =20\text{ x }(1)/(27)\text{ x }(8)/(27) \\ =(160)/(729) \\ =0.2195(4\text{ decimal places\rparen} \end{gathered}`

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