Rather than brute force iteration, you could always simulate: #! perl -slw
use strict;
use Data::Dump qw[ pp ];
use List::Util qw[ sum ];
use Math::Random::MT qw[ rand ];
my $throws = 5;
my $sides = 5;
my @probs = ( 0.05, 0.1, 0.2, 0.3, 0.35 );
my @values = ( 1, 5, 7, 13, 17 );
my @lookup = map{
( $values[ $_ ] ) x ( $probs[ $_ ] * 100 );
} 0 .. $#values;
our $MIN //= 60;
our $RUNS //= 1e5;
my $moreThanMin = 0;
for ( 1 .. $RUNS ) {
my $total = sum map{ $lookup[ rand( scalar @lookup ) ] } 1 .. $thr
+ows;
++$moreThanMin if $total > $MIN;
}
printf "Probability based on $RUNS simulations: %.3f%%",
$moreThanMin / $RUNS * 100;
__END__
c:\test>895892 -RUNS=1e6
Probability based on 1e6 simulations: 48.752%
It won't save time on small die, but on the larger ones you can decide how much time you want to spend to get closer and closer to the answer.
Examine what is said, not who speaks -- Silence betokens consent -- Love the truth but pardon error.
"Science is about questioning the status quo. Questioning authority".
In the absence of evidence, opinion is indistinguishable from prejudice.
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