Answer:
[tex]\frac{3}{32}[/tex]
Step-by-step explanation:
Well, an even decimal die has probability 0.5 of rolling even and 0.5 of rolling odd.
->The chances of rolling exactly one even number on five rolls is
[tex]P(even).(P(odd))^4= 0.5 * 0.5^4 =>0.5^5=>\frac{1}{32}[/tex]
->The chances of rolling exactly three even numbers on five rolls is
[tex](P(even))^3.(P(odd))^2= 0.5^5*0.5^2=0.5^5=>\frac{1}{32}[/tex]
The chances of rolling exactly five even numbers on five rolls is[tex](P(even))^5=0.5^5=> 1/32[/tex]
Further, the probability of independent events is the sum of their probabilities, so the probability of rolling an odd number of even numbers is [tex]\frac{3}{32}[/tex]
