Home
Class 12
MATHS
An antiaircraft gun can take a maximum o...

An antiaircraft gun can take a maximum of three shots at an enemy plane moving away from it. The probabilities of hiting the plane at the first, second and third shot are 0.5, 0.3, 0.2 respectively. The probability that the gun hits the plane is

A

0.72

B

0.488

C

0.6976

D

0.784

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE-1A|164 Videos

  • PROBABILITY

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE-1B|62 Videos

  • PERMUTATIONS & COMBINATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 ( SPECIAL TYPE QUESTIONS ) SET -4|10 Videos

  • PRODUCTS OF VECTORS

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise 2 (Special Type Questions) SET -D|14 Videos

Similar Questions

Explore conceptually related problems

An antiaircraft gun can take maximum of three shots at an enemy plane moving away from it. The probabilities of hitting the plane at the first , second and third shot are 0.5. 0.4 , 0.3 respectively. The probability that the gun hits the plane is

Three groups A, B, C are contesting for positions on the board of directors of a company. The probabilities of their winning are 0.5, 0.3 and 0.2 respectively. If the group A wins the probability of introducing a new product is 0.7 and the corresponding probabilities for group B and C are 0.6 and 0.5 respectively. Find the probability that the new product will be introduced.

Two aeroplanes I and II bomb a target in succession. The probabilities of I and II scoring a hit correctly are 0.3 and 0.2 respectively. The second plane will bomb only if the first misses the target. The probability that the target is hit by the second plane is

A contractor submitted tenders for 2 works. If 0.4, 0.6, 0.1 are the respective probabilities that his first tender, atleast one tender, both the tenders are accepted, what is the probability that his second tender is accepted.

A contractor submitted tenders for 2 works. If 0.4,0.6,0.1 are the respective probabilities that his first tender, atleast one tender, both the tenders are accepted, what is the probability that his second tender is accepted.