Answer:
a
Yes
b
[tex]P(1 \& 5) = \frac{1}{36}[/tex]
c
[tex]P(5 \& 1) = \frac{1}{36}[/tex]
d
[tex]P(5 \& 1 | 1\& 5 ) = \frac{1}{18}[/tex]
Step-by-step explanation:
From the question we are told that
Two fair dice, one green and one red were rolled
Generally the outcomes on the dice independent because the outcome on the first dice is not affected by the second die
Generally the probability of getting a 1 on a dice rolled is [tex]P(1) = \frac{1}{6}[/tex]
the probability of getting a 5 on a dice rolled is [tex]P(5) = \frac{1}{6}[/tex]
Generally the probability of P(1 on green die and 5 on red die) is mathematically represented as
[tex]P(1 \& 5) = \frac{1}{6} *\frac{1}{6}[/tex]
[tex]P(1 \& 5) = \frac{1}{36}[/tex]
Generally the probability of P(5 on green die and 1 on red die) is mathematically represented as
[tex]P(5 \& 1) = \frac{1}{6} *\frac{1}{6}[/tex]
[tex]P(5 \& 1) = \frac{1}{36}[/tex]
Generally the probability of P((1 on green die and 5 on red die) or (5 on green die and 1 on red die)) is mathematically represented as
[tex]P(5 \& 1 | 1\& 5 ) = \frac{1}{36} + \frac{1}{36}[/tex]
[tex]P(5 \& 1 | 1\& 5 ) = \frac{1}{18}[/tex]
