Answer
0.4013
Work Step by Step
$P(Type~error~I)=α=0.05$ (for each pairwise)
$P(not~make~Type~error~I)=1-α=1-0.05=0.95$ (for each pairwise)
$P(not~make~any~Type~error~I)=[P(not~make~Type~error~I)]^{10}=0.95^{10}=0.5987$
(for all pairwises)
$P(make~any~Type~error~I)=1-P(not~make~any~Type~error~I)=1-0.5987=0.4013$
(for all pairwises)
