Question

3. pada pelemparan 3 buah uang logam bersama sama tentukan peluang :
a. muncul ketiganya angka
b. muncul 2 gambar 1 angka

4. pada pelemparan 2 buah dadu secara bersama sama tentukan peluang
a. peluang muncul mata dadu 4
b.peluang muncul mata dadau = 6

Answer 1

Jawab :
3. a. P(ketiganya angka) = 1/8
b. A = {AAA, AAG, AGA, AGG, GAA, GAG, GGA, GGG} = n(S) = 8
S = {GAG, AGG} = n(A) = 2
Maka, P(A) = n(A) / n(S) 
= 2/8
= 1/4

4. a. n(S) = 6² = 36
A = {(1,3), (2,2), (3,1)}, maka n(A) = 3
P(A) = n(A) / n(S) 
= 3 / 36
= 1/12
b. n(S) = 6² = 36
A = {(1,5), (2,4), (3,3), (4,2), (5,1)}, maka n(A) = 5
P(A) = n(A) / n(S) 
= 5 / 36

Answer 2

Nomor 3a :

n(A) = 1
n(S) = 2³ = 8



No. 3b :

A = { AAA, AAG, AGA, AGG, GAA, GAG, GGA, GGG }
n(A) = 3
n(S) = 8



No. 4a :

A = { ( 1, 3 ), ( 2, 2 ), ( 3, 1 ) }
n(A) = 3
n(S) = 6² = 36



No. 4b :

A = { ( 1, 5 ), ( 2, 4 ), ( 3, 3 ), ( 4, 2 ), ( 5, 1 ) }
n(A) = 5
n(S) = 36