All kings, queens and aces are removed from a pack of 52 cards. The remaining cards are well shuffled and then a card is drawn from it. Find the probability that the drawn card is a red card.

Book Online Demo

Check Your IQ

Try Test

Courses

Dropper NEET Course Dropper JEE Course Class - 12 NEET Course Class - 12 JEE Course Class - 11 NEET Course Class - 11 JEE Course Class - 10 Foundation NEET Course Class - 10 Foundation JEE Course Class - 10 CBSE Course Class - 9 Foundation NEET Course Class - 9 Foundation JEE Course Class -9 CBSE Course Class - 8 CBSE Course Class - 7 CBSE Course Class - 6 CBSE Course

Offline Centres

All kings, queens and aces are removed from a pack of 52 cards. The remaining cards are well shuffled and then a card is drawn from it. Find the probability that the drawn card is a red card.

see full answer

Start JEE / NEET / Foundation preparation at rupees 99/day !!

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!

An Intiative by Sri Chaitanya

\frac{3}{4}

\frac{1}{2}

\frac{3}{2}

\frac{1}{4}

answer is B.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

Given, total number of cards=52
There will be, Number of black cards=26
and Number of red cards=26
The P(A) of the random experiment is,

P (A) = \frac{Number of favorable outcomes}{Total number of outcomes}

Since, all kings, queens, and aces are removed from a pack of 52 cards,

\Rightarrow 4 kings + 4 queens + 4 aces = 12

So, the remaining card in a deck is,
n(S) = 52-12 = 40
Thus, the number of events getting a red card after removing all kings, queens, and aces is, n(X) = 26 - 6 = 20
So, the probability of getting a red card is,