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MathematicsMathematics
21 July, 03:29

Martha types a 4-digit code into a keypad to unlock her car doors. The code uses the numbers 1 and 0. If the digits are selected at random, what is the probability of getting a code with exactly one 1? Enter your answer as a simplified fraction.

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  1. 21 July, 03:46
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    4 binary digits have 2^4 = 16 combinations.

    The combinations with exactly one 1 are: 1000, 0100, 0010 and 0001. So 4 out of 16 codes have exactly one 1.

    The chances of that are 4/16 = 1/4.
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Home » Mathematics » Martha types a 4-digit code into a keypad to unlock her car doors. The code uses the numbers 1 and 0. If the digits are selected at random, what is the probability of getting a code with exactly one 1? Enter your answer as a simplified fraction.
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