In how many different ways can the letters of the word MANGO be arranged so that the vowels always come together?
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(e) 4500 2. There are 4 red balls, 5 blue balls and 3 green balls in a jar. 2 balls are drawn at random. Find the probability that both are either green or red.
(a) 2/31
(b) 2/33
(c) 1/22
(d) 3/22(e) None of these 3. In a cold drink cartoon 3 pepsi, 5 limca and 7 sprites bottels. If one bottle is drawn at random from the cartoon what is the probability that it is either sprite or pepsi ?
(a) 5/7
(b) 3/4
(c) 2/3
(d) 4/7(e)None of these 4. Find the probability of selecting two red honor cards from a pack of 52 cards?
5. In how many ways can letter of word ‘PROMISE’ be arranged such that all vowels always come together?
(a) 720
(b) 120
(c) 960
(d) 880(e) 480 6. Find the probability in which 4 boys and 3 girls can be seated in a row such that no two girls or boys sit together?
(a) 24/35
(b) 2/35
(c) 1/35
(d) 4/35(e) 12/35
(e) 8/35 8. A coin is biased; it gives 3 times more head as compare to tail. Another coin is also biased such that the head occurs 64% of the times. When two coins are tossed simultaneously, what is the probability of occurring one tail at a time.
(a) 47.2%
(b) 47.8%
(c) 46.2%
(d) 41.6%(e) 56% 9. Three shooter having probability of shot a target 1/3, 2/5 and 3/7 respectively. What is the probability that exactly one of them did not hit the target?
(a) 12/35
(b) 29/105
(c) 19/35
(d) 41/105(e) 1/5 10. Rahul, Sachin and Sanjeev speaks 2 times, 5 times and 3 times truth out of 5 times, 6 times and 8 times respectively. Find the probability that they contradict each other when asked to speak on a fact?
(a) 3/16
(b) 5/16
(c) 7/16
(d) 13/16(e) 9/16
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