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MickeyxX7096
13.04.2021 •
Mathematics
Can someone plz help me
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Ответ:
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}](/tpl/images/0172/1132/e6744.png)
When 1 spade card is lost
So, No. of spade cards = 12
Total cards = 50
So, probability of getting spade =![\frac{12}{50}](/tpl/images/0172/1132/c0758.png)
When 2 spade cards are lost
So, No. of spade cards = 11
Total cards = 50
So, probability of getting spade =![\frac{11}{50}](/tpl/images/0172/1132/999e5.png)
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}](/tpl/images/0172/1132/2bfa2.png)
=![\frac{36}{50}](/tpl/images/0172/1132/02861.png)
= [tex]0.72/tex]
Hence the probability that a random card drawn from this (defective) deck is a spade is 0.72