Questi on 10

A card is drawn at random from a well shuffled deck of 52 cards. Find the probability of getting neither a red card nor a queen.

A card is drawn at random from a well shuffled deck of 52 cards. Find

Question 10 - CBSE Class 10 Sample Paper for 2019 Boards - Part 2
Question 10 - CBSE Class 10 Sample Paper for 2019 Boards - Part 3

Remove Ads
Teachoo · Class 10 Explore Class 10

Transcript

Question 10 A card is drawn at random from a well shuffled deck of 52 cards. Find the probability of getting neither a red card nor a queen. Here, we will first find Probability of getting either red card or queen Now, Number of red cards = 26 Number of queens = 4 But, out of these 4 queens, 2 are red ∴ Number of queens which are not red = 2 Now, Number of cards which are red or queen = 26 + 2 = 28 P (getting either red card or queen) = (𝑁𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑐𝑎𝑟𝑑 𝑤ℎ𝑖𝑐ℎ 𝑎𝑟𝑒 𝑟𝑒𝑑 𝑜𝑟 𝑞𝑢𝑒𝑒𝑛)/(𝑇𝑜𝑡𝑎𝑙 𝑛𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑐𝑎𝑟𝑑𝑠) = 28/52 = 7/13 Now, P (not getting either red card or queen) = 1 – P (getting either red card or queen) = 1 – 7/13 = (13 − 7)/13 = 6/13 ∴ Required probability is 𝟔/𝟏𝟑

Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

Davneet Singh is an IIT Kanpur graduate and has been teaching for 16+ years. At Teachoo, he breaks down Maths, Science and Computer Science into simple steps so students understand concepts deeply and score with confidence.

Many students prefer Teachoo Black for a smooth, ad-free learning experience.