The queen, the king and the jack of diamonds are removed from a deck of 52 playing cards and the pack is well-shuffled. A card is drawn from the remaining cards. Find the probability of getting a card of a jack

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{5}{49}

\frac{3}{49}

\frac{4}{49}

\frac{12}{49}

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

As we know that,
Probability

= \frac{No . of favorable outcomes}{Total no . of outcomes}

From the question we have,
A deck has a total 52 numbers of cards. Now, King, queen and jack of diamonds are removed from a deck of 52 playing cards.
So, Total number of outcomes = 52 – 3 = 49,
There are 4 jacks in a deck. After removing a jack of diamond we left with 3 Jacks.
Number of favorable outcomes = 3
Probability

= \frac{No . of favorable outcomes}{Total no . of outcomes}

= \frac{3}{49}

Watch 3-min video & get full concept clarity

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Books for IIT JEE

Best Books for NEET

How to Join IIT after 10th

Get Expert Academic Guidance – Connect with a Counselor Today!

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Books for IIT JEE

Best Books for NEET

How to Join IIT after 10th