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प्रश्न
A missing helicopter is reported to have crashed somewhere in the rectangular region shown in the figure. What is the probability that it crashed inside the lake shown in the figure?
उत्तर
The helicopter is equally likely to crash anywhere in the region. In the figure, the length and the breadth of the rectangle are 9 m and 4.5 m respectively.
Area of the entire region where the helicopter can crash
= (9 × 4.5) m2 = 40.5 m2
Let A be the event that helicopter crashed inside the lake.
The lake is rectangular shaped.
Length of lake = 9 – 6 = 3 m
Breadth of lake = 4.5 – 2 = 2.5 m
Area of lake = length × breadth
= 3 × 2.5
= 7.5 m2
∴ P(A) = `("n"("A"))/("n"("S"))`
= `7.5/40.5`
= `75/405`
= `5/27`
The probability that the helicopter crashed inside the lake is `5/27`
संबंधित प्रश्न
Two-digit numbers are formed from the digits 0,1,2,3,4 where digits are not repeated. Find the probability of the events that:
(a) The number formed is an even number.
(b) The number formed is a prime number.
Which of the following options shows the highest probability?
If one die is rolled, then find the probability of the following event by completing the activity.
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Activity: Let ‘S’ be the sample space.
S = {1, 2, 3, 4, 5, 6}
∴ n(S) = 6
Event A: Prime number on the upper face.
A = {`square`}
∴ n(A) = 3
P(A) = `square/(n(S))` .....[Formula]
= `square/6`
∴ P(A) = `1/square`
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∴ n(S) = 52
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∴ Total red cards = `square` hearts + 13 diamonds
∴ n(A) = `square`
∴ P(A) = `square/(n("S"))` ......[Formula]
P(A) = `26/52`
P(A) = `square`
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A handbag contained fifty ten rupees note, thirty-five fifty rupees note and fifteen hundred rupee note. One note is drawn from a handbag. What is the probability of getting:
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An urn contains 12 red balls, 15 yellow balls and 18 blue balls. A ball is choosen at random, then to find the probability of choosing a blue and red coloured balls, fill in the boxes.
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(1) Let E be the event that the choosen ball is blue.
Number of blue balls = `square`
Thus,
P(E) = `"Number of blue balls"/"Total number of balls"`
= `square/square`
(2) Let F be the event that the choosen ball is red.
Number of red balls = `square`
Thus,
P(F) = `square/"Total number of balls"`
= `square/square`
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One coin and a die are thrown simultaneously. Find the probability of the following event:
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