The probability of hitting the target by the first shooter is 0.8, and the second is 0.7. The shooters fire one shot
July 7, 2021 | education
| The probability of hitting the target by the first shooter is 0.8, and the second is 0.7. The shooters fire one shot at the target at a time. Determine the likelihood that the target will be hit if the shooters shoot independently of each other
Let P be an event – the target will be hit.
The probability of hitting the target at the first shooter:
p1 = 0.8;
Miss chance:
q1 = 1 – p1 = 1 – 0.8 = 0.2;
The probability of hitting the target at the second shooter:
p2 = 0.7;
Miss chance:
q2 = 1 – p2 = 1 – 0.7 = 0.3;
The probability of the event P` that not a single shot hit the target:
P` = q1 * q2 = 0.2 * 0.3 = 0.06;
Then the probability of the event P that the target will be hit:
P = 1 – P` = 1 – 0.06 = 0.94.
Answer: 0.94.
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