Respuesta :
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 = [tex]\frac{13}{50}[/tex]
When 1 spade card is lost
So, No. of spade cards = 12
Total cards = 50
So, probability of getting spade = [tex]\frac{12}{50}[/tex]
When 2 spade cards are lost
So, No. of spade cards = 11
Total cards = 50
So, probability of getting spade = [tex]\frac{11}{50}[/tex]
So, The he probability that a random card drawn from this (defective) deck is a spade = [tex]\frac{13}{50}+\frac{12}{50}+\frac{11}{50}[/tex]
= [tex]\frac{36}{50}[/tex]
= [tex]0.72/tex]
Hence the probability that a random card drawn from this (defective) deck is a spade is 0.72
