Prime Tossing Game

You toss a coin 5 times and take note of what comes up by writing 1 if Heads comes up and 0 if Tails comes up. You write those 1's and 0's next to each other creating a binary number of length 5.

Example: Heads, Heads, Tails, Tails, Heads 1100 1 2 \rightarrow 11001_{2} .

What is the chance of that number being a prime number?

~32% ~17% ~49% ~34%

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1 solution

X X
Apr 24, 2018

There are 11 primes from 0 to 31,so the answer is 11 32 \frac{11}{32}

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