From a pack of 52 playing cards – jacks, queens, kings and aces of red colour are removed. From the remaining, a card is drawn at random. Find the probability that the card drawn is (i) a black queen (ii) a red card (iii) a face card.

Asked by Topperlearning User | 8th Nov, 2017, 01:39: PM

Expert Answer:

When space jacks comma space queens comma space kings space and space aces space of space red space colour space are space removed space
from space straight a space pack space of space 52 space cards comma
total space number space of space cards space left equals 52 space minus space 2 space minus space 2 space minus space 2 space minus space 2 equals 52 space minus space 8 equals 44

left parenthesis straight i right parenthesis space space space Number space of space black space queens equals 2
space space space space space space space therefore space straight P left parenthesis black space queen right parenthesis equals 2 over 44 equals 1 over 22
left parenthesis ii right parenthesis space space space Number space of space red space cards space removed equals 8
space space space space space space space therefore space Number space of space red space cards space left equals 26 minus 8 equals 18
space space space space space space space therefore space straight P left parenthesis red space card right parenthesis equals 18 over 44 equals 9 over 22
left parenthesis iii right parenthesis space space space Number space of space face space cards space removed equals 6
space space space space space space space therefore space Number space of space face space cards space left equals 12 minus 6 equals 6
space space space space space space space therefore space straight P left parenthesis face space card right parenthesis equals 6 over 44 equals 3 over 22

Answered by  | 8th Nov, 2017, 03:39: PM