Please answer this question
A launched missile carries a 9 out 10 probability that it will hit its intended target.From three missiles launched from different locations,calculate the probability that;
a) All three will miss
b) Two missile will hit the target
c)At most 1 target is missed
d)Two targets are missed
e) At least one missile hits its intended target
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Answer:
1/1000
243/100
243/250
27/100
999/1000
Step-by-step explanation:
Hitting probability = 9/10
Missing Probability = 1- 9/10 = 1/10
All three will miss = (1/10)(1/10)(1/10) = 1/1000
b) Two missile will hit the target
= ³C₂(9/10)²(1/10)
= 3 * 81/1000
= 243/100
At most 1 target is missed
= 0 Target Missed + 1 Target Missed
= (9/10)³ + ³C₂(9/10)²(1/10)
= 972/1000
= 243/250
Two targets are missed
= ³C₂(1/10)²(9/10)
= 3 * 9/1000
= 27/100
At least one missile hits its intended target
= 1 - No missile hit its intended target
= 1 - (1/10)³
= 999/1000
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