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  • Answer please! Which of the following events are exhaustive events in case of deck of 52 cards?

Which of the following events are exhaustive events in case of deck of 52 cards?

 

  • Option 1)

    P = Drawing a King

    Q = Drawing a Black card.

  • Option 2)

    P = Drawing a numbered card

    Q = Drawing Black card.

  • Option 3)

    P = Drawing a numbered card

    Q = Red card

    R = face card

     

  • Option 4)

    P = Drawing Ace cards 

    Q = Drawing face cards.

 

Answers (1)

best_answer

As we learned 

 

Exhaustive events -

A set of events is said to be exhaustive if one them must neccessarily happen every time the experiment performed.

Let  

S= \left \{ 1,2,3,4,5,6 \right \} then A = \left \{ 1,2 \right \}, B= \left \{ 3,4,5,6 \right \} \ therefore A\cup B= \left \{ 1,2,3,4,5,6 \right \}= S

- wherein

where

A_{1}\cup A_{2}\cup A_{3}-\cup A_{n}= S

 

 Since numbered cards are \left \{ A,2,\cdots \cdots \cdots \cdots \cdots ,10 \right \}

and face cards are \left \{ J,Q,K \right \}

These three are exhaustive events.

 


Option 1)

P = Drawing a King

Q = Drawing a Black card.

Option 2)

P = Drawing a numbered card

Q = Drawing Black card.

Option 3)

P = Drawing a numbered card

Q = Red card

R = face card

 

Option 4)

P = Drawing Ace cards 

Q = Drawing face cards.

Posted by

Himanshu

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