On a weekend Rani was playing cards with her family .The deck has 52 cards. If her brother drew one card .

Question 1

Find the probability of getting a king of red colour

(a) 1/26 (b) 1/13 (c) 1/52 (d) 1/4

Question 2

Find the probability of getting a face card.

(a) 1/26 (b) 1/13 (c) 2/13 (d) 3/13

Question 3

Find the probability of getting a jack of hearts

(a) 1/26 (b) 1/52 (c) 3/52 (d) 3/26

Question 4

Find the probability of getting a red face card

(a) 3/26 (b) 1/13 (c) 1/52 (d) 1/4

Question 5

Find the probability of getting a spade.

(a) 1/26 (b) 1/13 (c) 1/52 (d) 1/4

Transcript

Question On a weekend Rani was playing cards with her family .The deck has 52 cards. If her brother drew one card .Question 1 Find the probability of getting a king of red colour (a) 1/26 (b) 1/13 (c) 1/52 (d) 1/4Total number of cards = 52
Total number of kings of red colour = 2
P (getting a king of red colour) = (𝑁𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑘𝑖𝑛𝑔 𝑐𝑎𝑟𝑑𝑠 𝑜𝑓 𝑟𝑒𝑑 𝑐𝑜𝑙𝑜𝑢𝑟)/(𝑇𝑜𝑡𝑎𝑙 𝑛𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑐𝑎𝑟𝑑𝑠)
= 2/52
= 𝟏/𝟐𝟔
So, the correct answer is (a)
Question 2 Find the probability of getting a face card. (a) 1/26 (b) 1/13 (c) 2/13 (d) 3/13Total number of cards = 52
Face cards are King, Queen and Jack
Each type has 4 cards
Total number of face cards = 3 × 4 = 12
P (getting a face card) = (𝑁𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑓𝑎𝑐𝑒 𝑐𝑎𝑟𝑑𝑠)/(𝑇𝑜𝑡𝑎𝑙 𝑛𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑐𝑎𝑟𝑑𝑠)
= 12/52
= 𝟑/𝟏𝟑
So, the correct answer is (d)
Question 3 Find the probability of getting a jack of hearts (a) 1/26 (b) 1/52 (c) 3/52 (d) 3/26Total number of cards = 52
We have 4 Jack cards
Total number of Jack of hearts = 1
P (getting a Jack of hearts) = (𝑁𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝐽𝑎𝑐𝑘 𝑜𝑓 ℎ𝑒𝑎𝑟𝑡𝑠 𝑐𝑎𝑟𝑑𝑠)/(𝑇𝑜𝑡𝑎𝑙 𝑛𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑐𝑎𝑟𝑑𝑠)
= 𝟏/𝟓𝟐
So, the correct answer is (b)
Question 4 Find the probability of getting a red face card (a) 3/26 (b) 1/13 (c) 1/52 (d) 1/4 Total number of cards = 52
Face cards are King, Queen and Jack
Total number Red face cards = 6
P (getting a red face card) = (𝑁𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑟𝑒𝑑 𝑓𝑎𝑐𝑒 𝑐𝑎𝑟𝑑𝑠)/(𝑇𝑜𝑡𝑎𝑙 𝑛𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑐𝑎𝑟𝑑𝑠)
= 6/52
= 𝟑/𝟐𝟔
So, the correct answer is (a)
Question 5 Find the probability of getting a spade. (a) 1/26 (b) 1/13 (c) 1/52 (d) 1/4Total number of cards = 52
We have 4 suits –
Spade, Club, Diamond and Hearts
Total number of spade cards = 13
P (getting a spade card) = (𝑁𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑠𝑝𝑎𝑑𝑒 𝑐𝑎𝑟𝑑𝑠)/(𝑇𝑜𝑡𝑎𝑙 𝑛𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑐𝑎𝑟𝑑𝑠)
= 13/52
= 𝟏/𝟒
So, the correct answer is (d)

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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