Hello, Saggittarius!

Matt has a special coin where, when tossed, heads comes up 62% of the time.

He plays a gambling game with Roy.

Each time the coin is tossed, if it comes up heads, Roy pays Matt $500.

. . If it comes up tails, Matt pays Roy $500.

The coin is tossed 100 times.

What is the probability that Matt comes out aheadmore than$9,000?

If Matt wins 59 games (and loses 41), he will win$9,000.exactly

To winmore than$9,000, Matt must winat least 60 games.

So we have: .

. .

The answer is theof these probabilities: .sum