A die is thrown and a card is selected at random from a deck of 52 pla

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 isA. 1/2B. 1/4C. 1/8D. 3/4
Answer» Let A be Event for getting number on dice And, B be Event that a spade card is selected A={2,4,6} B={13} Since, P(A)= 3/6 = 1/2 P(B) = 13/52 = 1/4 We know, If E and F are two independent events then, P(AՌB)=P(A).P(B) P(A ∩ B) = 1/2 x 1/4 = 1/8 Hence, P(E₁∩ E₂) = 1/8

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 isA. 1/2B. 1/4C. 1/8D. 3/4

Answer»

Let A be Event for getting number on dice

And, B be Event that a spade card is selected

A={2,4,6}

B={13}

Since, P(A)= 3/6 = 1/2

P(B) = 13/52 = 1/4

We know, If E and F are two independent events then, P(AՌB)=P(A).P(B)

P(A ∩ B) = 1/2 x 1/4 = 1/8

Hence, P(E₁∩ E₂) = 1/8

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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 isA. 1/2B. 1/4C. 1/8D. 3/4

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