What is the probability of throwing a dart at a numbered dartboard and hitting an odd number?

Instruction: Assume the dartboard has numbers 1 through 20, and each number is equally likely to be hit.

Context: Tests the candidate's ability to apply basic probability principles in a playful, real-world scenario.

Updated

Example Answer

Under the instruction's model, the outcomes are the numbers one through 20 and each is equally likely. Ten are odd: 1, 3, 5, 7, 9, 11, 13, 15, 17, and 19. The probability is therefore 10/20 = 1/2, or 50%.

That is a model of the numbered outcomes. If an actual throw can miss or hit an unnumbered bullseye, I would first clarify whether we are conditioning on hitting a numbered sector. Under the same uniform-sector assumption, if the probability of any numbered-sector hit is q, the probability of an odd-sector hit on a throw is q/2.

Why this works

It uses the uniform probabilities explicitly supplied by the question and distinguishes the sector's label from a multiplied dart score. Aimed throws need not have the assumed uniform distribution.

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