A coin is tossed thrice. In which of the following cases are the events E and F independent?
E : the first throw results in head”.
F : “the last throw results in tail”.

Solution

Here, S = {HHH, HHT, HTH, THH, TTH, THT, HTT, TTT}
P(E) = P(HHH, HHT, HTH, HTT) = $4 over 8 space equals 1 half$
P(F) = P(HHT, THT, HTT, TTT) = $4 over 8 space equals 1 half$
$straight P left parenthesis straight E intersection straight F right parenthesis space equals straight P left parenthesis HHT comma space space HTT right parenthesis space equals space 2 over 8 space equals space 1 fourth$
$therefore space space space space space straight P left parenthesis straight E intersection straight F right parenthesis space equals space space space straight P left parenthesis straight E right parenthesis space straight P left parenthesis straight F right parenthesis$ $open square brackets because space space space 1 fourth space equals space 1 half cross times 1 half close square brackets$
$therefore space space events space straight E space and space straight F space are space independent.$

For Daily Free Study Material Join wiredfaculty

Probability

A coin is tossed thrice. In which of the following cases are the events E and F independent?
E : the first throw results in head”.
F : “the last throw results in tail”.

Some More Questions From Probability Chapter

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

Phone Number

Email Address

Loaction

For Daily Free Study Material Join wiredfaculty

Probability

A coin is tossed thrice. In which of the following cases are the events E and F independent?E : the first throw results in head”.F : “the last throw results in tail”.

Some More Questions From Probability Chapter

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

A coin is tossed thrice. In which of the following cases are the events E and F independent?
E : the first throw results in head”.
F : “the last throw results in tail”.