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Question
A die is thrown and a card is selected at random from a deck of 52 playing cards. The probability of getting an even number on the die and a spade card is ______.
Options
`1/2`
`1/4`
`1/8`
`3/4`
Solution
A die is thrown and a card is selected at random from a deck of 52 playing cards. The probability of getting an even number on the die and a spade card is `1/8`.
Explanation:
Let E1 be the event of getting even number on the die.
E2 be the event of selecting a spade card.
∴P(E1) = `3/6 = 1/2` and P(E2) = `13/52 = 1/4`
So P(E1 ∩ E2) = P(E1).P(E2)
= `1/2*1/4`
= `1/8`
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