Home
Class 12
MATHS
There are 15 cards. Of these 10 have the...

There are 15 cards. Of these 10 have the letter 'I' printed on them and the other 5 have the letter 'T' printed on them. If three cards are picked up at random one after the other and kept in the same order, the probability of making the word IIT is

A

`(15)/(182)`

B

`(15)/(91)`

C

`(90)/(15xx14xx13)`

D

`(15)/(32)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    AAKASH SERIES|Exercise Practise Exercise|165 Videos

  • PROBABILITY

    AAKASH SERIES|Exercise Exercise-I|125 Videos

  • PERMUTATIONS & COMBINATIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|163 Videos

  • QUADRATIC EQUATIONS & EXPRESSIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|88 Videos

Similar Questions

Explore conceptually related problems

There are 20 cards , 10 of these cards have the letter 'I' printed on them and the other 10 have the letter 'T' printed on them. If three cards are picked up at random and kept in the same order, the probability of making word IIT is

If 5 cards are drawn from a pack, then the probability of selecting the cards of which four of them have same face value is

Once again you are given four cards. Each card has a number printed on one side and a letter on the other side. Which are the only two cards you need to turn over to check whether the following rule holds? "If a card has a consonant on one side, then it has an odd number on the other side."

A shopkeeper has 100 memory cards in a box. Among them 15 memory cards Are defective when a person came to the shop to buy a memory cards, the shopkeeper draw a memory card at random from the box then (i) What is the probability that memory card is defective? (ii) After drawing the first memory card which is defective, it is not placed back in the box”. Then what is the probability that this memory card is not defective.

10 different letters of an alphabet are given. Find the number of 5 letter words that can be formed using 10 letters which have (i) no letter repeated (ii) atleast one letter repeated

In octahedral complexes having co-ordination number 6, the degeneracy of the d-orbitals of central atom is removed due to ligand electron metal electron repulsions. In the octahedral complex three orbitals have lower energy, t_(2g) set and two orbitals have higher energy, eg set. This phenomenon is formed as crystal field splitting and the energy seperation is denoted by Delta_(0) . Thus the energy of the two eg orbitals will increase by (3//5)Delta_(0) and that of the three t_(2g) will decrease by (2//5)Delta_(0) . The erystal field splitling, Delta_(0) depends upon the field produced by the ligand and charge on the metal ion. Some ligands are able to produce strong field and in these cases, the splitting will be large whereas other produce weak fields and consequently result in small splitting of d-orbitals. Predict the order of Delta_(0) for the following compound i) [Fe(H_(2)O)_(6)]^(+2) ii) [Fe(CN)2(H_(2)O)_(4) iii) [Fe(CN)_(4)(H_(2)O)_(2)]^(2-)

An orbital is designated by certain values of first three quantum numbers (n, l and m) and according to Pauli.s exclusion principle, no two electrons in a atom can have all the for quantum numbers equal. N, l and m denote size, shape and orientation of the orbital. The permissible values of n are 1,2,3.... prop while that of 1 are all possible integral values from 0 to n-n. Orbitals with same values of n and 1 but different values of m (where m can have any integral values from 1 to +1 including zero) are of equal energy and are called degenerate orbitals. However degeneracy is destroyed in homogeneous external magnetic field due to different extent of interaction between the applied field and internal electronic magnet of different orbitals differing in orientations. In octahedral magnetic field external magnetic field as oriented along axes while in tetrahedral field the applied field actas more in between the axes than that on the axes themselves. For 1=0, 1,2,3,...., the states (called sub-shells) are denoted by the symbol s,p,d,f.....respectively. After f, the subshells are denoted by letters alphabetically 1 determines orbital angular motion (L) of electron as L = sqrt(l(l+1))(h)/(2pi) ON the other hand, m determines Z-component of orbital angular momentum as L_(Z) = m((h)/(2pi)) Hund.s rule states that in degenerate orbitals electrons do not pair up unless and until each each orbitals has got an electron with parallesl spins Besides orbital motion,an electron also posses spin-motion. Spin may be clockwise and anticloskwise. Both these spin motions are called two spins states of electrons characterized by spin Q.N (s) : s = +(1)/(2) and = -(1)/(2) respectively The sum of spin Q.N. of all the electrons is called total spin(s) and 2s+1 is called spin multiplicity of the configuration as a whole. The spin angular momentum of an electron is written as L_(s) = sqrt(s(s+1))(h)/(2pi) The orbital angular momentum of electron (l=1) makes an angles of 45^(@) from Z-axis. The L_(z) of electron will be

AAKASH SERIES-PROBABILITY-Exercise-II
  1. A speaks truth in 75% of the cases and B in 80% of the cases. Then the...

    Text Solution

    |

  2. The probability that A speaks truth is 4/5 , while this probability fo...

    Text Solution

    |

  3. There are 15 cards. Of these 10 have the letter 'I' printed on them an...

    Text Solution

    |

  4. A salesman has a 60% chance of making a sale to each customer. The beh...

    Text Solution

    |

  5. Mr. X is selected for interview for 3 posts. For the first post there ...

    Text Solution

    |

  6. Three houses are available in a locality. Three persons apply for the ...

    Text Solution

    |

  7. One bag A contains 5 white and 3 black balls. Another bag B contains 6...

    Text Solution

    |

  8. Three groups of children contain 3 girls and one boy , 2 girls and 2 b...

    Text Solution

    |

  9. Three persons A,B,C in order cut a pack of cards replacing them after ...

    Text Solution

    |

  10. In the above problem the ratio of the probabilities of their winning i...

    Text Solution

    |

  11. A man alternately tosses a coin and throws a die continuously . The pr...

    Text Solution

    |

  12. A biased coin with probability p, 0 lt p lt 1 of heads is tossed until...

    Text Solution

    |

  13. On a toss of two dice, A throws a total of 5. Then the probability tha...

    Text Solution

    |

  14. A and B throw a pair of dice. A wins if the throws 6 before B throws 7...

    Text Solution

    |

  15. India plays two hockey matches each with Pakistan and England. In any ...

    Text Solution

    |

  16. An article manufactured by a company consists of two parts A and B. In...

    Text Solution

    |

  17. The probability of India winning a test match against West-Indies is 1...

    Text Solution

    |

  18. The key for a door is in the bunch of 10 keys. A man attempts to open ...

    Text Solution

    |

  19. A letter is known to have come either from 'TATANAGAR' or 'CALCUTTA' ....

    Text Solution

    |

  20. Three numbers are chosen at random without replacement from {1,2,3,….8...

    Text Solution

    |