1.

If a die is thrown and a card is selected at random from a deck of playing cards, than the probability of getting an even number on the die and a spade card isA. `1/2`B. `1/4`C. `1/8`D. `3/4`

Answer» Let `E_(1)`=Event for getting an even number on the die
and `E_(2)`=Event that a spade card is selected
`thereforeP(E_(1))=3/6=1/2andP(E_(2))=13/52=1/4`
Then, `P(E_(1)capE_(2))=P(E_(1))cdotP(E_(2))=1/2cdot1/4=1/8`


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