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Achiever Study Plan ESE-2018: Engineering Mathematics Quiz 7

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Question 1

Box A contains 6 Apple and 4 orange and Box B contains 4 Apple and 6 Orange. One Fruit drawn at random from box A and B. Then One fruit is transferred at random from box B to box A. If one fruit is now drawn at random from box A, find the probability that it is Apple?

Question 2

What is the probability that a number from 1 to 436 is divisible by 4 or 9?

Question 3

How many ways the word ‘TAPEWRITER’ can be arranged so that vowels will always be together?

Question 4

In hockey games played in 2017, India had won 75% of their matches and Australia had won 80% of their matches. What is the probability that the game between these two teams will not end up as a tie?

Question 5

Natasha and Bob are playing a game in which Natasha picks a card and if it is a face card, she wins. If the first card is not a face card, she picks another card (without replacing the first) and she wins if both the cards are higher than 5 or if the first card is lesser than 5 and the second is an Ace. What is the probability of Natasha winning if the deck contains only cards of the Hearts suit? (Assume Ace is a high card)

Question 6

A takes 3 fruits from a box containing 3 Apples and 9 Oranges while B takes 2 fruits from the box containing 2 apples and 6 Oranges. What is the ratio of the probability of A's success to B's success if picking apples is considered as success?
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Nov 2ESE & GATE EE