Answer
Verified
483k+ views
Hint : Find the probability of the plane not getting hit and subtract it from total probability
Let ${H_1},{H_2},{H_3}\& {H_4}$ be the probabilities of hitting the plane at first, second, third & fourth shots.
$
P({H_1}) = 0.4 \\
P({H_2}) = 0.3 \\
P({H_3}) = 0.2 \\
P({H_4}) = 0.1 \\
$
Here we will find the probability of the plane doesn’t get hit at first , second , third & fourth shots respectively ,
$
P({\overline H _1}) = 0.6{\text{ }} \\
P({\overline H _2}) = 0.7{\text{ }} \\
P({\overline H _3}) = 0.8{\text{ }} \\
P({\overline H _4}) = 0.9 \\
$
Total probability that the plane doesn’t gets hit is :-
$P({\overline H _1})P({\overline H _2})P({\overline H _3})P({\overline H _4}) = (0.6){\text{ (}}0.7){\text{ (}}0.8){\text{ (}}0.9) = 0.3024$
Now the probability that the plane gets hit is,
${\text{1 - }}0.3024 = 0.6976.$
Answer = ${\text{0}}{\text{.6976}}$
Note :- In these types of questions of probability always try to find the probability of not happening of an event . Then subtract it with one to get the probability of happening of that event . Since it is easy to solve.
Let ${H_1},{H_2},{H_3}\& {H_4}$ be the probabilities of hitting the plane at first, second, third & fourth shots.
$
P({H_1}) = 0.4 \\
P({H_2}) = 0.3 \\
P({H_3}) = 0.2 \\
P({H_4}) = 0.1 \\
$
Here we will find the probability of the plane doesn’t get hit at first , second , third & fourth shots respectively ,
$
P({\overline H _1}) = 0.6{\text{ }} \\
P({\overline H _2}) = 0.7{\text{ }} \\
P({\overline H _3}) = 0.8{\text{ }} \\
P({\overline H _4}) = 0.9 \\
$
Total probability that the plane doesn’t gets hit is :-
$P({\overline H _1})P({\overline H _2})P({\overline H _3})P({\overline H _4}) = (0.6){\text{ (}}0.7){\text{ (}}0.8){\text{ (}}0.9) = 0.3024$
Now the probability that the plane gets hit is,
${\text{1 - }}0.3024 = 0.6976.$
Answer = ${\text{0}}{\text{.6976}}$
Note :- In these types of questions of probability always try to find the probability of not happening of an event . Then subtract it with one to get the probability of happening of that event . Since it is easy to solve.
Recently Updated Pages
How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE
Mark and label the given geoinformation on the outline class 11 social science CBSE
When people say No pun intended what does that mea class 8 english CBSE
Name the states which share their boundary with Indias class 9 social science CBSE
Give an account of the Northern Plains of India class 9 social science CBSE
Change the following sentences into negative and interrogative class 10 english CBSE
Trending doubts
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
Which are the Top 10 Largest Countries of the World?
Give 10 examples for herbs , shrubs , climbers , creepers
Difference Between Plant Cell and Animal Cell
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
Change the following sentences into negative and interrogative class 10 english CBSE
How do you graph the function fx 4x class 9 maths CBSE
Write a letter to the principal requesting him to grant class 10 english CBSE