MATH SOLVE

3 months ago

Q:
# Two of the cards of an ordinary deck of 52 cards are lost. What is the probability that a random card drawn from this (defective) deck is a spade? (Show your work! Define any events that you use, and be clear and neat!)

Accepted Solution

A:

Answer:0.72Step-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 = 522 cards are lost Remaining cards = 50When no spade card is lost So, No. of spade cards = 13Total cards = 50So, probability of getting spade = [tex]\frac{13}{50}[/tex]When 1 spade card is lost So, No. of spade cards = 12Total cards = 50So, probability of getting spade = [tex]\frac{12}{50}[/tex]When 2 spade cards are lost So, No. of spade cards = 11Total cards = 50So, 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