A word consists of 9 letters; 5 consonants and 4 vowels. There letters are chosen at random. What is the probability that more than one vowel will be selected?

Created: 4 years ago | Updated: 3 years ago

13/42

5/42

17/42

3/14

Probashi Kallyan Bank এসিস্ট্যান্ট এক্সিকিউটিভ অফিসার (ক্যাশ) ০১. ১১. ২০১৯ গণিত সম্ভাব্যতা (Probability)

ব্যাখ্যা

0 333

best des

Given, Consonants  = 5
Vowels  =  4
Probability 
 =  $= {1 - (\frac{{}^{5}C_{3}}{{}^{9}C_{3}} + \frac{{}^{5}C_{2} \times {}^{4}C_{1}}{{}^{9}C_{3}})} = {1 - (\frac{\frac{5!}{3! (5 - 3)!}}{\frac{9!}{3! (9 - 3)!}} + \frac{\frac{5!}{2! (5 - 2)!} \times \frac{4!}{1! (4 - 1)!}}{\frac{9!}{3! (9 - 3)!}})} = {1 - (\frac{\frac{5!}{3! 2!}}{\frac{9!}{3! 6!}} + \frac{\frac{5!}{2! 3!} \times \frac{4!}{1! 3!}}{\frac{9!}{3! 6!}})} = {1 - (\frac{\frac{5 \times 4 \times 3!}{2 \times 3!}}{\frac{9 \times 8 \times 7 \times 6!}{2 \times 3 \times 6!}} + \frac{\frac{5 \times 4 \times 3!}{2 \times 3!} \times \frac{4 \times 3!}{3!}}{\frac{9 \times 8 \times 7 \times 6!}{2 \times 3 \times 6!}})} = {1 - (\frac{10}{84} + \frac{10 \times 4}{84})} = (1 - \frac{50}{84}) = (\frac{80 - 50}{84}) = \frac{34}{84} = \frac{17}{42}$

4 years ago

0 0

Md Azizur Rahman

Founder of Satt

সম্ভাব্যতা (Probability)

Edit

1. ২০ সদস্যবিশিষ্ট একটি ফুটবল দল থেকে একজন অধিনায়ক ও একজন সহ-অধিনায়ক কতভাগে নির্বাচন করা যাবে?

Created: 6 years ago | Updated: 10 months ago

২০

১৯০

৩৮০

৭৬০

বিসিএস প্রিলিমিনারি + রিটেন টেস্ট ২৩ তম (বিশেষ) বিসিএস প্রিলিমিনারি টেস্ট (মুক্তিযোদ্ধা) (23-03-2001) গণিত সম্ভাব্যতা (Probability)

ব্যাখ্যা Please wait...

1 1.6k

2. একটি গোল মুদ্রা টেবিলে রাখা হলো। এই মুদ্রার চারপাশে একই মুদ্রা কতটি রাখা যেতে পারে যেন তারা মাঝের মুদ্রাটিকে এবং তাদের দুপাশে রাখা দুটি মুদ্রাকে স্পর্শ করে?

Created: 6 years ago | Updated: 10 months ago

৪

৬

৮

১০

বিসিএস প্রিলিমিনারি + রিটেন টেস্ট ১৩ তম বিসিএস প্রিলিমিনারি টেস্ট (1991-1992) গণিত সম্ভাব্যতা (Probability)

ব্যাখ্যা Please wait...

3 2k

3. A Zoo keeper counted the heads of the animals in a zoo and found it to be 80. When he counted the legs of the animals he found it to be 260. If the zoo had either pigeons or horses, how many horses were there in the zoo ?

Created: 6 years ago | Updated: 3 years ago

None of these

Bangladesh Bank Bangladesh Bank - Assistant Director - 2009 গণিত সম্ভাব্যতা (Probability)

ব্যাখ্যা Please wait...

0 622

4. In a box , there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green ?

Created: 6 years ago | Updated: 3 years ago

1/3

3/4

7/19

8/21

Bangladesh Bank Bangladesh Bank - Assistant Director - 2010 গণিত সম্ভাব্যতা (Probability)

ব্যাখ্যা Please wait...

0 623

5.
A fair coin is thrown in the air four times. If the coin lands with the head up on the first three tosses, what is the probability that the coin will land with the head up on the fourth toss ?

Created: 6 years ago | Updated: 11 months ago

3/4

1/2

1/8

1/16

1/32

Bangladesh Bank Bangladesh Bank - Officer(Cash) - 2011 গণিত সম্ভাব্যতা (Probability)

ব্যাখ্যা Please wait...

1 865

A word consists of 9 letters; 5 consonants and 4 vowels. There letters are chosen at random. What is the probability that more than one vowel will be selected?

সম্ভাব্যতা (Probability)

Related Question

1. ২০ সদস্যবিশিষ্ট একটি ফুটবল দল থেকে একজন অধিনায়ক ও একজন সহ-অধিনায়ক কতভাগে নির্বাচন করা যাবে?

3. A Zoo keeper counted the heads of the animals in a zoo and found it to be 80. When he counted the legs of the animals he found it to be 260. If the zoo had either pigeons or horses, how many horses were there in the zoo ?

4. In a box , there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green ?

5.
A fair coin is thrown in the air four times. If the coin lands with the head up on the first three tosses, what is the probability that the coin will land with the head up on the fourth toss ?

Probashi Kallyan Bank

Promotion

Download Our Mobile Apps

Satt policy

Main Features

Subscribe our newsletter

Job

A word consists of 9 letters; 5 consonants and 4 vowels. There letters are chosen at random. What is the probability that more than one vowel will be selected?

সম্ভাব্যতা (Probability)

Related Question

1. ২০ সদস্যবিশিষ্ট একটি ফুটবল দল থেকে একজন অধিনায়ক ও একজন সহ-অধিনায়ক কতভাগে নির্বাচন করা যাবে?

3. A Zoo keeper counted the heads of the animals in a zoo and found it to be 80. When he counted the legs of the animals he found it to be 260. If the zoo had either pigeons or horses, how many horses were there in the zoo ?

4. In a box , there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green ?

5. A fair coin is thrown in the air four times. If the coin lands with the head up on the first three tosses, what is the probability that the coin will land with the head up on the fourth toss ?

Probashi Kallyan Bank

Promotion

Download Our Mobile Apps

Satt policy

Main Features

Subscribe our newsletter

Promotion

5.
A fair coin is thrown in the air four times. If the coin lands with the head up on the first three tosses, what is the probability that the coin will land with the head up on the fourth toss ?