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`

Answer 1

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`