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Thursday, January 23, 2020

A fair coin is tossed 3 times in succession. If the first to

January 23, 2020 |

Engineering Mathematics, PGCET CSE Exam (Karnataka) 2011, Solved, Technical Aptitude

A fair coin is tossed 3 times in succession. If the first toss produced a head, then the probability of getting exactly two heads in 3 tosses ( including the first toss ) is

A1/8

B3/8

C1/2

D3/4

Akilesh Kharvi Dec 8 '2016 at 21:11

Answer: $\frac{3}{4}$

Explanation:

P(2 heads in 3 tosses / first toss is a head)
(H,H,H)
(H,H,T)
(H,T,H)
(H,T,T)
(T,H,H)
(T,H,T)
(T,T,H)
(T,T,T)
are the 2^3 = 8 ways in which the coin can roll.
Since we are given that the first toss is a head, our sample space becomes:
(H,H,H)
(H,H,T)
(H,T,H)
(H,T,T)
Of these four possibilities, we want to know how many have exactly 2 heads
$= \frac{3}{4}$

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The probability of two sisters sharing the same birth-month

January 23, 2020 |

Engineering Mathematics, PGCET CSE Exam (Karnataka) 2011, Solved, Technical Aptitude

The probability of two sisters sharing the same birth-month is

A1/144

B1/24

C1/12

D1/6

Akilesh Kharvi Dec 8 '2016 at 21:6

Answer: $\frac{1}{12}$

Explanation:

The first sister can be born any month, it makes no difference.
The second sister has 1/12 chance of being born in the same month.

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A U B and A B are equal only if

January 23, 2020 |

Engineering Mathematics, PGCET CSE Exam (Karnataka) 2011, Solved

A U B and A B are equal only if

AA is an empty set

BB is an empty set

Cboth A and B are empty sets

Dboth A and B are singleton sets

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There are four bus lines between A and B and three between

January 23, 2020 |

Engineering Mathematics, PGCET CSE Exam (Karnataka) 2011, Solved

There are four bus lines between A and B and three between B and C. The number of ways a person can travel by bus from A to C through B is

A10

B12

C14

D24

Akilesh Kharvi Dec 8 '2016 at 20:34

Answer: 12

Explanation:

4 bus lines between a and b.
3 bus lines between b and c.
the number of possible combinations between a and c going through b are $4 \times 3 = 12.$

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Which of the following respectively represent commutative

January 23, 2020 |

Engineering Mathematics, Mathematical Logic, PGCET CSE Exam (Karnataka) 2011, Solved, Technical Aptitude

Which of the following respectively represent commutative law, associative law and distributive law ?

AI, II, III

BIII, I, II

CIII, II, I

DI, III, II

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