Two Cards Are Drawn Together From A Pack Of 52 Cards. The Probability

1.	Two Cards Are Drawn Together From A Pack Of 52 Cards. The Probability That One Is A Spade And One Is A Heart, Is?
Answer» LET S be the SAMPLE space. Then, n(S) = 52C2=(52 x 51)/(2 x 1) = 1326. Let E = event of getting 1 spade and 1 heart. n(E)= number of WAYS of CHOOSING 1 spade out of 13 and 1 heart out of 13 = 13C113C1 = 169. P(E) = n(E)/n(S) = 169/1326 = 13/102. Let S be the sample space. Then, n(S) = 52C2=(52 x 51)/(2 x 1) = 1326. Let E = event of getting 1 spade and 1 heart. n(E)= number of ways of choosing 1 spade out of 13 and 1 heart out of 13 = 13C113C1 = 169. P(E) = n(E)/n(S) = 169/1326 = 13/102.

Two Cards Are Drawn Together From A Pack Of 52 Cards. The Probability That One Is A Spade And One Is A Heart, Is?

Answer»

LET S be the SAMPLE space.

Then, n(S) = 52C2=(52 x 51)/(2 x 1) = 1326.

Let E = event of getting 1 spade and 1 heart.

n(E)= number of WAYS of CHOOSING 1 spade out of 13 and 1 heart out of 13 = 13C1*13C1 = 169.

P(E) = n(E)/n(S) = 169/1326 = 13/102.

Let S be the sample space.

Then, n(S) = 52C2=(52 x 51)/(2 x 1) = 1326.

Let E = event of getting 1 spade and 1 heart.

n(E)= number of ways of choosing 1 spade out of 13 and 1 heart out of 13 = 13C1*13C1 = 169.

P(E) = n(E)/n(S) = 169/1326 = 13/102.