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Tamiku [17]
3 years ago
8

A box contains 48 tickets for six door prizes. Six tickets are drawn, and not replaced, to declare the winners. If serge purchas

es 8 tickets, determine the probability that he wins
a) the first prize
b) the first and second prizes
c) all six prizes
Mathematics
2 answers:
Lyrx [107]3 years ago
6 0
The tickets aren't replaced, so multiply the probabilities, decreasing the  denominator each time.

a) 1/48
b) (1/48)(1/47)
c) (1/48)(1/47)(1/46)(1/45)(1/44)(1/43)
Sphinxa [80]3 years ago
6 0
A)P(1st\ prize)=\frac{8}{48}
b)P(1st+2nd\ prizes)=\frac{8C2}{48C2}=.025
c)P(all\ 6\ prizes)=\frac{8C6}{48C6}=0.000002
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Answer:

\displaystyle   GH  =  2 \sqrt{30}

\displaystyle FH = 2 \sqrt{10}

\displaystyle m \angle G =  {30}^{ \circ}

Step-by-step explanation:

<h3>QUESTION-2:</h3>

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<h3>Question-1:</h3>

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\displaystyle  \sin( \theta)  =  \frac{opp}{hypo}

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\displaystyle  \sin(  {60}^{ \circ} )  =  \frac{GH}{4 \sqrt{10} }

recall unit circle:

\displaystyle   \frac{ \sqrt{3} }{2}   =  \frac{GH}{4 \sqrt{10} }

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\displaystyle   2 GH  =  4 \sqrt{10}  \times  \sqrt{3}

simplify multiplication:

\displaystyle   2 GH  =  4 \sqrt{30}

divide both sides by 2:

\displaystyle   GH  =  2 \sqrt{30}

<h3>QUESTION-3:</h3>

Recall that, the sum of the interior angles of a triangle is 180°

therefore,

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simplify addition:

\displaystyle m \angle G +  {150}^{ \circ}  =  {180}^{ \circ}

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