Math, asked by Sonal987, 1 year ago

Three cards 1 jack and queen of the head are removed from a well shuffled deck of 52 cards one card is selected from the remaining cards find the probability of getting a card of heart

Answers

Answered by UltimateMasTerMind
49

Answer:

Step-by-step explanation:

Total Number of Outcome = (52 - 3) = 49 Cards. [ Since, 3 Cards ( 1 Jack & Queen of Red 2) So, 3 Cards are Removed. ]

Favourable Outcome = Probability of getting Card of Heart = 10.

=> Probability of Getting Card of Heart = Favourable Outcome/ Total Outcome

=> P = 10 / 49

Hence, The Probability of Getting Card of Heart is 10/49 .


OrangyGirl: Thanks ☺:-)
OrangyGirl: Hi
UltimateMasTerMind: Most Welcome!
OrangyGirl: ☺☺
Steph0303: I assumed it as heart and not red. So different answer :)
UltimateMasTerMind: But It's Written at the Starting that Three Cards are removed !
Steph0303: Well then Queen of Red is removed then why probability of calculating heart would be only 11/49. Because there is only 1 possibility of removing a queen of heart. Maybe the jack can also be of red so 11/49 must be the answer.
Answered by Steph0303
9

Answer:

Three cards : 1 jack and queens of the red are removed from a well shuffled deck.

Original Number of cards = 52 cards.

Final Sample Space after removal of cards = 52 - 3 = 49

Hence Sample Space = { 49 }

Event ( Getting a card of heart ) = { 13 - 1 } = { 12 }

But since the jack card is not mentioned with any colour we assume it to be in  2 cases.

Case 1: Jack of Hearts

⇒ Number of possibilities = { 13 - 1 queen - 1 jack } = { 11 }

Hence Probability = Number of Possibilities / Sample Space = 11/49

Case 2: Jack of any other colour.

⇒ Number of possibilities = { 13 - 1 queen } = 12

Hence Probability = Number of possibilities / Sample Space = 12/49

These are the required answers.

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