Two fair coins $ S_1 $ and $ S_2 $ are tossed independently once. Let the events $ E, F, $ and $ G $ be defined as follows: $ E $: Head appears on $ S_1 $ $ F $: Head appears on $ S_2 $ $ G $: The same outcome (head or tail) appears on both $ S_1 $ and $ S_2 $ Then which of the following statements is NOT correct?

Question

Two fair coins $ S_1 $ and $ S_2 $ are tossed independently once. Let the events $ E, F, $ and $ G $ be defined as follows: $ E $: Head appears on $ S_1 $ $ F $: Head appears on $ S_2 $   $ G $: The same outcome (head or tail) appears on both $ S_1 $ and $ S_2 $   Then which of the following statements is NOT correct?

cdquestions Admin · Accepted Answer

The correct option is (D): $ E, F, $ and $ G $ are mutually independent

Answer

$ E $ and $ F $ are independent

Answer

$ F $ and $ G $ are independent

Answer

$ E $ and $ G^C $ are independent

Answer

$ E, F, $ and $ G $ are mutually independent

The Correct Option is D

Solution and Explanation

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