Question

13. The face cards are removed from a pack of 52 playing cards and then well shuffled. If one card is now randomly drawn, what is the probability that it will be a diamond?​

Answer 1

Correct Question

All red face cards are removed from a pack of playing cards. The remaining cards are well shuffled and then a card is drawn at random from them. Find the probability that the drawn card is (i) a red card

No. of red cards after red face cards drawn=26−6=20

Therefore, 20 C 1

( Selecting 1 out of 20 items) times out of 46 C 1

( Selecting 1 out of 46 items) a red card is picked.

Let E be the event of getting a red card from pack

We know that, Probability P(E) =

$\boxed{\frac{No.of favorable outcomes}{total \: no \: of \: \: possible \: outcomes}}$

Now

$\red{\boxed{\bf= \: \frac{ {}^{20}{c1} } { {?}^{40}{c1} } }} \blue\leadsto= \frac{20}{40} \green\leadsto= \frac{10}{26}$