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Choose the correct alternative: A letter is taken at random from the letters of the word ‘ASSISTANT’ and another letter is taken at random from the letters of the word - Mathematics

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प्रश्न

Choose the correct alternative:

A letter is taken at random from the letters of the word ‘ASSISTANT’ and another letter is taken at random from the letters of the word ‘STATISTICS’. The probability that the selected letters are the same is

पर्याय

  • `7/45`

  • `17/90`

  • `29/90`

  • `19/90`

MCQ

उत्तर

`19/90`

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पाठ 12: Introduction to probability theory - Exercise 12.5 [पृष्ठ २६६]

APPEARS IN

सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 11 TN Board
पाठ 12 Introduction to probability theory
Exercise 12.5 | Q 8 | पृष्ठ २६६

संबंधित प्रश्‍न

An insurance agent insures lives of 5 men, all of the same age and in good health. The probability that a man of this age will survive the next 30 years is known to be 2/3 . Find the probability that in the next 30 years at most 3 men will survive.


The probability that a certain kind of component will survive a check test is 0.6. Find the probability that exactly 2 of the next 4 tested components survive


If P(A) = 0.8, P(B) = 0.5 and P(B|A) = 0.4, find P(A|B)


Determine P(E|F).

A coin is tossed three times, where

E: head on third toss, F: heads on first two tosses


Determine P(E|F).

A coin is tossed three times, where

E: at most two tails, F: at least one tail


Determine P(E|F).

Two coins are tossed once, where 

E: no tail appears, F: no head appears


Determine P(E|F).

Mother, father and son line up at random for a family picture

E: son on one end, F: father in middle


A fair die is rolled. Consider events E = {1, 3, 5}, F = {2, 3} and G = {2, 3, 4, 5} Find P (E|F) and P (F|E)


A fair die is rolled. Consider events E = {1, 3, 5}, F = {2, 3} and G = {2, 3, 4, 5} Find P ((E ∪ F)|G) and P ((E ∩ G)|G)


Two balls are drawn at random with replacement from a box containing 10 black and 8 red balls. Find the probability that

  1. both balls are red.
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  3. one of them is black and other is red.

Bag A contains 4 white balls and 3 black balls. While Bag B contains 3 white balls and 5 black balls. Two balls are drawn from Bag A and placed in Bag B. Then, what is the probability of drawing a white ball from Bag B?


From a pack of well-shuffled cards, two cards are drawn at random. Find the probability that both the cards are diamonds when first card drawn is kept aside


Three fair coins are tossed. What is the probability of getting three heads given that at least two coins show heads?


If P(A) = 0.5, P(B) = 0.8 and P(B/A) = 0.8, find P(A/B) and P(A ∪ B)


Given P(A) = 0.4 and P(A ∪ B) = 0.7 Find P(B) if A and B are independent events


Choose the correct alternative:

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Let A and B be two non-null events such that A ⊂ B. Then, which of the following statements is always correct?


If A and B are two events such that `P(A/B) = 2 xx P(B/A)` and P(A) + P(B) = `2/3`, then P(B) is equal to ______.


If for any two events A and B, P(A) = `4/5` and P(A ∩ B) = `7/10`, then `P(B/A)` is equal to ______.


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