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Its not a really good move, your friend risks $10 to try and win $.30. Its a very expensive way to advertise your friends maniac playing style, and comes out pretty phoney if you ask me. Better off raising and hence risking, a smaller amount.
While pocket 4's may seem like a good starting hand, its nothing too calibre. Against any 2 higher cards, it is a 55% favourite to win (45% to win), but againt a higher pocket pair - it is severly crushed at around 18% to win (82% to lose). Hence, at best your friend can to be a slight favourite against 2 high cards for 55%, at best.
Statistically speaking, the chance of randomly being dealt a higher pair to the pocket 44, is about 0.45% by 10 = 4.5% (per 1 person) But with 3 other players, the risk could jump to 13.5%. Sooner or later, expect to be called.
I suspect your friend has been watching too much sensationalised TV poker, where Michael Mizrachi - "the Grinder" with 44 moves ALL IN preflop over Eric Lindgren's AQ. The situation here and what your friend has, is completely different.
In answering your question, I would not recommend doing this. Even though you have more chips than the opponent. They are only within one double up from equally you. It is a very risky play for such little reward. I like to think of it as an AA invite actually. If you are in a desperate situation, where you needed to double up quickly or risk being eliminated - then that is a different story.
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