Question

Which of the following events is/are compound event(s)?

• A. Two heads are obtained by a coin tossed twice.
• B. A die is thrown twice and the sum of the numbers appearing is observed to be 6.
• C. Card drawn from a pack of 52 cards is a king.
• D. Three coins are tossed simultaneously. Head is obtained on first two coins.

Answer 1

Answer: (B), (C), (D)

Three coins are tossed simultaneously. Head is obtained on first two coins.

Assume A indicates an event.
For option 1: A = {HH}

For option 2: A = {(1, 5), (2, 4), (3, 3), (4, 2), (5, 1)}

For option 3: There are 4 kings of different suits present in a pack of 52 cards.

For option 4: A = {HHH, HHT}

Option 2, 3 and 4 have more than one sample point, thus they are compound events.