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66: Go Fish with Primes

William Carey, on a Dan Meyer post:
We play Prime
fish with the sixth and seventh graders. You need a special deck of
cards, but it’s an easy deck to make (edited, - ed.):

Ten cards with a "2" on them (or two fish)

Ten cards with a "3" on them (or three squid)

Eight cards with a "5" on them (or five eels)

Five cards with a "7" on them (or seven sea-slugs)

Two cards with a "11" on them (or eleven shrimp)

Each player draws four cards. They multiply their hand together, and
announce only the product (!) to the group. They then play go-fish.

It’s fun to watch the kids debate whether there’s a strategy to the
game. It’s more fun to watch them work out the strategy once
they decide that there is a strategy.

What's the strategy?

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