首页
登录
职称英语
Of the 40 specimens of bacteria in a dish, 3 specimens have a certain trait. If
Of the 40 specimens of bacteria in a dish, 3 specimens have a certain trait. If
游客
2024-01-12
35
管理
问题
Of the 40 specimens of bacteria in a dish, 3 specimens have a certain trait. If 5 specimens are to be selected from the dish at random and without replacement, which of the following represents the probability that only 1 of the 5 specimens selected will have the trait?
选项
A、
B、
C、
D、
E、
答案
E
解析
In the context of this problem,
represents the number of ways r specimens can be selected without replacement from n specimens.
The probability that only 1 of the 5 specimens selected from the 40 specimens will have the trait is equal to
number of ways to select 5 specimens, only 1 of which has the trait
number of ways to select 5 specimens
The number of ways 5 specimens can be selected from the 40 specimens is
. To select 5 specimens, only 1 of which has the trait, you have to select 1 of the 3 specimens that have the trait and select 4 of the 37 specimens that do not have the trait. The number of such selections is the product
.So the probability that only 1 of the 5 specimens selected will have the trait is represented by
. The correct answer is Choice E.
This explanation uses the following strategies.
Strategy 1: Translate from Words to an Arithmetic or Algebraic Representation
Strategy 8: Search for a Mathematical Relationship
转载请注明原文地址:https://tihaiku.com/zcyy/3355654.html
相关试题推荐
Ourpreferencesforcertaincolorsare______accordingtothepassage.[br]Whi
Ourpreferencesforcertaincolorsare______accordingtothepassage.[br]Whi
Thedegree______youmaintainyourmentalhealthmaydependoncertainsimpleenv
Inasecond-handbookshop,Billycameacrossabookwhichhethoughtwascertain
Overuseofantibioticscanleadtodrug-resistantbacteriathathavetobetr
WINK,Inc.followsacertainprocedurethatrequirestwotaskstobefinishedin
Inacertainconservativemutualfund,70percentofthemoneyisinvestedinbo
Acertainlabexperimentswithwhiteandbrownmiceonly.Inoneexperiment,2/3
Inacertaingrowthfund,3/5oftheinvestmentcapitalisinvestedinstocks,a
Acertaintruckuses18gallonsofdieselfuelintraveling270miles.Inorder
随机试题
Thefierceheatofthissummerwitheredmostofthecrops______hisfarm.A、inB
Newsisbadforyou—andgivingupreadingitwillmakeyouhappierA)In
依据一次能源的不同,发电厂可分为()。A.火力发电厂 B.水力发电厂 C.
在我国,非公开募集证券投资基金(简称私募基金)合格投资者累计不得超过()人。A.
患者,女性,26岁,第一胎,妊娠36周,由于公共汽车突停,摔倒,当时觉腹部不适,
女性,24岁。牙龈出血伴月经过多1年,下肢皮肤散在出血点及瘀斑,血红蛋白72g/
职能制是在“直线制”的基础上发展起来的,它的优点包括()。A:适应现代企业生产技
一住店客人未付房钱即想离开旅馆去车站。旅馆服务员揪住他不让走,并打报警电话。客人
银行承兑汇票的承兑银行,应当按照票面金额向出票人收取()的手续费。A:千分之一
下列建设工程安全隐患的不安全因素中,属于“物的不安全状态”的是()。A.物体存放
最新回复
(
0
)