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 * 51/ (21)= 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 x 13C1) = (13 x 13) = 169. P(E) =n (E)/n(S) = 169/ 1326= 13/102 Let S be the sample space. Then, n(S) = 52C2 = 52 51/ (2*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 x 13C1) = (13 x 13) = 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 * 51/ (2*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 x 13C1)

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

Let S be the sample space.

Then, n(S) = 52C2 = 52 * 51/ (2*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 x 13C1)

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

Discussion

No Comment Found

Related InterviewSolutions

Ratio Of Ashok's Age To Pradeep's Age Is 4 : 3. Ashok Will Be 26 Years Old After 6 Years. How Old Is Pradeep Now ?
The Incomes Of Chanda And Kim Are In The Ratio 9 : 4 And Their Expenditures Are In The Ratio 7 : 3. If Each Saves Rs. 2,000, Then Chanda's Expenditure Is
Solve 2 3 10 39 178 885 ?
A And B Can Do A Piece Of Work In 30 Days, While B And C Can Do The Same Work In 24 Days And C And A In 20 Days. They All Work Together For 10 Days When B And C Leave. How Many Days More Will A Take To Finish The Work ?
X And Y Entered Into Partnership With Rs. 700 And Rs. 600 Respectively. After 3 Months X Withdrew 2/7 Of His Stock But After 3 Months, He Puts Back 3/5 Of What He Had Withdrawn. The Profit At The End Of The Year Is Rs. 726. How Much Of This Should X Receive ?
X And Y Can Do A Piece Of Work In 20 Days And 12 Days Respectively. X Started The Work Alone And Then After 4 Days Y Joined Him Till The Completion Of The Work. How Long Did The Work Last ?
X Can Do 1/4 Of A Work In 10 Days, Y Can Do 40% Of The Work In 40 Days And Z Can Do 1/3 Of The Work In 13 Days. Who Will Complete The Work First ?
A Man Sitting In A Train Travelling At The Rate Of 50 Km/hr Observes That It Takes 9 Sec For A Goods Train Travelling In The Opposite Direction To Pass Him. If The Goods Train Is 187.5 M Long, Find Its Speed.
A' And 'b' Complete A Work Togather In 8 Days.if 'a' Alone Can Do It In 12 Days.then How Many Day 'b' Will Take To Complete The Work?
Find The Next Term Of The Following Series. 1, 1, 3, 9, 11, 121,?