Answered

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a jar contains five black buttons and six brown buttons. If 8 buttons are picked at random,what is the probability that at least 4 of them are black?

Sagot :

First, we write out the probability formula:

[tex]Pr(E)=\frac{n(R\text{equired outcome)}}{n(Total\text{ outcome) }}[/tex]

Total number of tickets = 13

Pr(both Ashley and Matt win) = Pr(Ashley wins) x Pr(Matt wins)

[tex]\begin{gathered} Pr(\text{Ashley win ) }=\text{ }\frac{1}{13} \\ Pr(\text{Matt win) = }\frac{1}{13} \end{gathered}[/tex][tex]Pr(\text{both wins ) }=\frac{1}{13}\times\frac{1}{13}=\frac{1}{169}[/tex]

The final answer is 1/169

In order to express our answer as a percentage, we multiply by a 100%

= 1/169 x 100% = 0.592% ( to 3 significant figures)

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