Spinning a wheel, the probability of landing in area A is .99 probability of landing in area B is .01. In 60 spins what is the probability of landing in area B?
2 Answers
Probability = 0.6%
Explanation:
First we convert the probability of Area B from dec
To find the probability of landing in Area B, we multiply the probability of area B by the number of spins, so it looks like
I hope that helped!
Explanation:
There are only two possible sets of outcomes:
#"all 60 spins land on A"#
#"at least one spin lands on B"#
Therefore, we can say that:
#P("all 60 A") + P("at least 1 B") = 1#
So in order to find the chance of at least 1 spin landing on B, let's first find the chance that all 60 spins land on A:
#P("all 60 A") = underbrace(P(A)timesP(A)times cdots timesP(A))_(60 color(white)"." "times") = (P(A))^60#
#=0.99^60 ~~ 0.5472#
Therefore:
#P("all 60 A") + P("at least 1 B") = 1#
#0.5472 + P("at least 1 B") = 1#
#P("at least 1 B") = 0.4528#
Final Answer