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You are here: Home » GMAT Test Prep Problem » Permutation & Combination » Question 5
counting methods   Permutation Combination Problem Solving : Tossing of coins
The GMAT Sample Math question for the day is from the topic Probability.

Question 5
A man can hit a target once in 4 shots. If he fires 4 shots in succession, what is the probability that he will hit his target?
  1. 1
  2. 1/256
  3. 81/256
  4. 175/256
  5. 144/256

The correct choice is (D) and the correct answer is 175/256.

Explanatory Answer
The man will hit the target even if he hits it once or twice or thrice or all four times in the four shots that he takes.

So, the only case where the man will not hit the target is when he fails to hit the target even in one of the four shots that he takes.

The probability that he will not hit the target in one shot = 1 - 1/4 = 3/4
Therefore, the probability that he will not hit the target in all the four shots =81/256

Hence, the probability that he will hit the target at least in one of the four shots = 1 - 81/256
= 175/256 .


permutation ebook   eBooks on Permutation Combination & Probability
1. eBook on Permutation Combination & Probability eBook in new format

Permutation Probability eBooks This ebook with over 110 questions in about 100 pages covers all major concepts in Permutation combination (combinatorics) and Probability. Includes typical GMAT like problems such as "tossing of coins", "rolling of dice" and "selecting cards from a pack of cards"

These concepts are explained with 80 solved examples and illustrative examples. In addition, the eBook also includes 40+ exercise problems for you to practice.

USD 6.99Buy NowDetails on Permutation Probability eBookeBook FaqDownload DNL Reader

2. Practice Test on Permutation, Combination & Probability - 95 questions eBook in new format

Permutation Probability Test This eBook is a practice test comprising 95 questions on Permutation, Combination and Probability. These questions are objective type multiple choice questions. Each question is provided with correct answers and detailed explanations at the end of the test.

Wherever applicable, shortcuts and alternate methods to solve the questions are provided .

USD 6.99Sample TestBuy NowDetails on Permutation Probability Test eBookeBook FaqDownload DNL Reader
 


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