A square board is divided into a smaller identical squares by drawing lines. Three bulets are shot at the board randomly. The probability that at least 2 bullets hit same small square is 1. 1. 1/3 2. 56/81 3. 25/81 4. 2/3
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Transcribed image text: 8. A square body is divided into 9 smaller identical squares by drawing lines. Three bullets are shot at the board randomly. The probability that at least two bullets hit the same small square is 1. 1/3 2. 56/81 3. 25/81 4.2/3
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Answer:
To calculate the probability that at least 2 bullets hit the same small square, we find the probability that none of the bullets hit the same small square and use the formula that P(A)=1-P(not A); where A is some event.
Step-by-step explanation:
So, the solution becomes
P(at least two bullets hit the same small squares)=1-P(no bullet hits the same small square).
that is, 1-(⁹P₃/ 9³)=1-(56/81)=25/81.
So, 25/81 is correct.
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