Answer:
0.82
Step-by-step explanation:
We are given that
Total number of parties=n=6
The probability that each party will order drinks with their meal,q=0.75
The probability that party will not order drink with their meal=p=1-0.75=0.25
We have to find the probability that at least one party will not order drinks with their meal
Binomial probability distribution
[tex]P(x=r)=nC_rq^{n-r}p^r[/tex]
Using the formula
[tex]P(x=0)=6C_0(0.75)^6[/tex]
[tex]P(x=0)=\frac{6!}{6!}(0.75)^6[/tex]
Using formula;[tex]nC_r=\frac{n!}{r!(n-r)!}[/tex]
[tex]P(x=0)=(0.75)^6[/tex]
[tex]P(x\geq 1)=1-P(x=0)[/tex]
[tex]P(x\geq 1)=1-(0.75)^6[/tex]
[tex]P(x\geq 1)=0.82[/tex]
Hence, the probability that at least one party will not order drinks=0.82
