Answer:
0.72
Step-by-step explanation:
Given :Two of the cards of an ordinary deck of 52 cards are lost.
To Find : What is the probability that a random card drawn from this (defective) deck is a spade?
Solution:
Total number of cards = 52
2 cards are lost
Remaining cards = 50
When no spade card is lost
So, No. of spade cards = 13
Total cards = 50
So, probability of getting spade = ![\frac{13}{50}](https://tex.z-dn.net/?f=%5Cfrac%7B13%7D%7B50%7D)
When 1 spade card is lost
So, No. of spade cards = 12
Total cards = 50
So, probability of getting spade = ![\frac{12}{50}](https://tex.z-dn.net/?f=%5Cfrac%7B12%7D%7B50%7D)
When 2 spade cards are lost
So, No. of spade cards = 11
Total cards = 50
So, probability of getting spade = ![\frac{11}{50}](https://tex.z-dn.net/?f=%5Cfrac%7B11%7D%7B50%7D)
So, The he probability that a random card drawn from this (defective) deck is a spade = ![\frac{13}{50}+\frac{12}{50}+\frac{11}{50}](https://tex.z-dn.net/?f=%5Cfrac%7B13%7D%7B50%7D%2B%5Cfrac%7B12%7D%7B50%7D%2B%5Cfrac%7B11%7D%7B50%7D)
= ![\frac{36}{50}](https://tex.z-dn.net/?f=%5Cfrac%7B36%7D%7B50%7D)
= [tex]0.72/tex]
Hence the probability that a random card drawn from this (defective) deck is a spade is 0.72