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A man is known to speak the truth 4 out of 5 times. He throws  a die and reports that it is  a six . Find the probability that it is actually a six.

Asked by ahuja8087 20th March 2017, 5:41 PM
Answered by Expert
Answer:

hi

begin mathsize 16px style straight E subscript 1 space be space the space event space that space six space will space be space on space the space die.
straight P open parentheses straight E subscript 1 close parentheses equals 1 over 6
straight E subscript 2 space be space the space event space that space it space will space not space be space 6.
straight P open parentheses straight E subscript 2 close parentheses equals 5 over 6
straight P open parentheses straight A divided by straight E subscript 1 close parentheses equals 4 over 5
straight P open parentheses straight A divided by straight E subscript 2 close parentheses equals 1 fifth
Required space probability space is comma
straight P open parentheses bevelled straight E subscript 1 over straight A close parentheses equals fraction numerator straight P open parentheses straight E subscript 1 close parentheses straight P open parentheses straight A divided by straight E subscript 1 close parentheses over denominator straight P open parentheses straight E subscript 1 close parentheses straight P open parentheses straight A divided by straight E subscript 1 close parentheses plus straight P open parentheses straight E subscript 2 close parentheses straight P open parentheses straight A divided by straight E subscript 2 close parentheses end fraction
Calculate space it space by space puting space the space values space you space will space get space answer space as space 4 over 9.
end style

Answered by Expert 20th March 2017, 5:58 PM
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