Ask a Doubt
Request a call back

Join NOW to get access to exclusive study material for best results

CBSE Class 12-science Answered

if A and B are two independent events,then the probability of occourrence at least one of A and Bis given by 1-p(A')p(B')
Asked by neesa.vs | 15 Mar, 2017, 07:06: PM
answered-by-expert Expert Answer
begin mathsize 16px style Given space that space straight A space and space straight B space are space two space independent space events. We space know space that comma space straight A space and space straight B space are space two space independent space events comma space if space straight P left parenthesis straight A intersection straight B right parenthesis equals straight P left parenthesis straight A right parenthesis. straight P left parenthesis straight B right parenthesis The space probability space of space occurrence space of space at space least space one space of space straight A space and space straight B equals The space probability space of space occurrence space of space only space straight A space plus thin space The space probability space of space occurrence space of space only space straight B plus The space probability space of space occurrence space of space straight A space and space straight B equals Probability space of space occurrence space of space straight A space or space straight B rightwards double arrow straight P left parenthesis at space least space one space of space straight A space and space straight B right parenthesis equals straight P left parenthesis straight A union straight B right parenthesis equals straight P left parenthesis straight A right parenthesis plus straight P left parenthesis straight B right parenthesis minus straight P left parenthesis straight A intersection straight B right parenthesis space equals straight P left parenthesis straight A right parenthesis plus straight P left parenthesis straight B right parenthesis minus straight P left parenthesis straight A right parenthesis. straight P left parenthesis straight B right parenthesis equals straight P left parenthesis straight A right parenthesis plus straight P left parenthesis straight B right parenthesis left square bracket 1 minus straight P left parenthesis straight A right parenthesis right square bracket equals straight P left parenthesis straight A right parenthesis plus straight P left parenthesis straight B right parenthesis. straight P apostrophe left parenthesis straight A right parenthesis equals 1 minus straight P apostrophe left parenthesis straight A right parenthesis plus straight P left parenthesis straight B right parenthesis. straight P apostrophe left parenthesis straight A right parenthesis equals 1 minus straight P apostrophe left parenthesis straight A right parenthesis left square bracket 1 minus straight P left parenthesis straight B right parenthesis right square bracket equals 1 minus straight P apostrophe left parenthesis straight A right parenthesis. straight P apostrophe left parenthesis straight B right parenthesis Hence space proved. end style
Answered by Rebecca Fernandes | 15 Mar, 2017, 09:03: PM

Concept Videos

Multiple Choice Questions Practice Test
Answered Unanswered My Questions My Answers
CBSE 12-science - Maths
doubt
question image
Asked by armaanjain840 | 20 Dec, 2023, 05:59: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
A bag contains 5 white balls and 9 red balls. Three balls are drawn from the bag. What is the probability that at least one ball is white?: Looks like answer posted as 55/182 is wrong. Request to recheck it once again.
Asked by sachinkumarmishra1 | 31 Jan, 2020, 05:17: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
A bag contains 5 white balls and 9 red balls. Three balls are drawn from the bag. What is the probability that at least one ball is white?
Asked by sachinkumarmishra1 | 29 Jan, 2020, 02:59: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
A bag contains 5 white balls and 9 red balls. Three balls are drawn, without replacement, from the bag. What is the probability that at least one ball is white?
Asked by sachinkumarmishra1 | 27 Jan, 2020, 12:27: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
A bag contains 7 white , 5 Black and 4 red balls. 4 balls are drawn without replacement. Find the probability that atleast 3 balls are black.
Asked by sachinkumarmishra1 | 24 Jan, 2020, 11:10: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
From a bag containing 8 white and 5 Black balls. Four balls are drawn one by one without replacement . Find the probability that exactly two of them are white.
Asked by sachinkumarmishra1 | 23 Jan, 2020, 12:00: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
a bag contains 4 red ,6 green, 3 white balls ,three balls are drawn one after one the other without replacement,find the probability that the balls are red,green and green  My doubt is --How can we solve this question by combination ? The explanation given is    begin mathsize 16px style probability space of space taking space 1 st space ball space red space ball equals 4 over 13 probability space of space taking space 2 nd space ball space green space ball equals 6 over 12 space left parenthesis no space replacement right parenthesis probability space of space taking space 3 rd space ball space green space ball equals 5 over 11 space left parenthesis no space replacement right parenthesis so space in space total 4 over 13 cross times 6 over 12 cross times 5 over 11 end style  
Asked by sachinkumarmishra1 | 22 Jan, 2020, 05:50: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Neelam has offered physics , chemistry and mathematic sin class XII. She estimates that her probabilities of receiving a grade A  in these course are 0.2 , 0.3 and 0.9  respectively . Fins the probability that neelam receives : exactly 2A grades
Asked by haroonrashidgkp | 05 Nov, 2018, 02:11: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
What are independent events? 
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
If A and B are independent events, such that P(A) = , P(B) = , then find .       
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
My Class Videos Tests ₹ Plans Ask a Doubt
Get Latest Study Material for Academic year 24-25 Click here
×