Dua dadu dilambungkan bersama. Peluang muncul kedua mata dadu berjumlah kurang dari 9 adalah ….*
A. 1/4
B. 1/6
C. 15/18
D. 13/18
Catatan :
bagi yg bise jawab ye.. jng malu²
#LearnWithBrainly
[tex] \mathbb \color{aqua} \underbrace{JAWABAN}[/tex]
[tex] \implies \small \boxed{ \bold{D. \: \frac{13}{18} }}[/tex]
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[tex] \mathbb \color{orange} \underbrace{PENYELESAIAN}[/tex]
[tex] \tiny \begin{gathered}\boxed{\begin{array}{c|c|c}\underline{\mathbf{Jumlah}}&\underline{\mathbf{~~~~~~~~~~~~~Dadu \: yang \: muncul~~~~~~~~~~~~~}}&\underline{\mathbf{Frekuensi}}\\&&&\\ \sf2&\sf(1,1)&\sf \frac{1}{36} \\&&&\\ \sf3& \sf(1,2),(2,1)& \sf \frac{2}{36} \\&&&\\\sf4&\sf(1,3),(2,2),(3,1)&\sf \frac{3}{36} \\&&&\\\sf5& \sf(1,4),(2,3),(3,2),(4,1) & \sf \frac{4}{36} \\&&&\\\sf6& \sf(1,5),(2,4),(3,3),(4,2),(5,1) & \sf \frac{5}{36} \\&&&\\ \sf7&\sf(1,6),(2,5),(3,4),(4,3),(5,2),(6,1)& \sf \frac{6}{36} \\&&&\\\sf8& \sf(2,6),(3,5),(4,4),(5,3)(6,2) & \sf \frac{5}{36} \\&&&\\\sf9& \sf(3,6),(4,5),(5,4),(6,3) & \sf \frac{4}{36} \\&&&\\\sf10&\sf(4,6),(5,5),(6,4)&\sf \frac{3}{36} \\&&&\\\sf11&\sf(5,6),(6,5)&\sf \frac{2}{36} \\&&&\\ \sf12&\sf(6,6)&\sf \frac{1}{36} \\&&&\\ \end{array}}\end{gathered} \\ [/tex]
=> ruang sampel 2 dadu :
[tex] \begin{aligned} \sf n(S) &= \sf {6}^{n} \\ &= \sf {6}^{2} \\ &= \sf \bold{36} \end{aligned} \\ [/tex]
=> kejadian muncul mata dadu berjumlah kurang dari 9 :
(1,1) , (1,2) , (2,1) , (1,3) , (2,2) , (3,1) , (1,4) , (2,3) , (3,2) , (4,1) , (1,5) , (2,4) , (3,3) , (4,2) , (5,1) , (1,6) , (2,5) , (3,4) , (4,3) , (5,2) , (6,1) , (2,6) , (3,5) , (4,4) , (5,3) , (6,2)
n(A) = 26
[tex] \\ [/tex]
=> Peluang muncul kedua mata dadu berjumlah kurang dari 9 :
[tex] \begin{aligned} \sf P(A) &= \sf \frac{n(A)}{n(S)} \\ &= \sf \frac{26}{36} \longrightarrow \small \boxed{ \sf sederhanakan} \\ &= \bold { \frac{13}{18} } \end{aligned}[/tex]
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[tex] \mathbb \color{red} \underbrace{KESIMPULAN}[/tex]
[tex] \sf Jadi, \bold{peluang} \: muncul \: kedua \: mata \: dadu [/tex]
[tex] \sf berjumlah \: kurang \: dari \: 9 \: adalah \: \bold{ \frac{13}{18} }[/tex]
[tex] \colorbox{ff0000}{} \colorbox{ff4000}{}\colorbox{ff8000}{}\colorbox{ffc000}{}\colorbox{ffff00}{}\colorbox{c0ff00}{}\colorbox{80ff00}{}\colorbox{40ff00}{}\colorbox{00ff00}{}\colorbox{00ff40}{}\colorbox{00ff80}{}\colorbox{00ffc0}{}\colorbox{00ffff}{}\colorbox{00c0ff}{}\colorbox{0080ff}{}\colorbox{0040ff}{}\colorbox{0000ff}{}\colorbox{4000ff}{}\colorbox{8000ff}{}\colorbox{c000ff}{}\colorbox{ff00ff}{}\colorbox{ff00c0}{}\colorbox{ff00a0}{}\colorbox{ff0080}{}\colorbox{ff0040}{} [/tex]
[answer.2.content]
