题干

2011年,国际数学协会正式宣布,将每年的3月14日设为国际数学节,是中国古代数学家祖冲之的圆周率.为庆祝该节日,某校举办的数学嘉年华活动中,设计了一个有奖闯关游戏,游戏分为两个环节.

第一环节“解锁”:给定6个密码,只有一个正确,参赛选手从6个密码中任选一个输入,每人最多可输三次,若密码正确,则解锁成功,该选手进入第二个环节,否则直接淘汰.

第二环节“闯关”:参赛选手按第一关、第二关、第三关的顺序依次闯关,若闯关成功,分别获得10个、20个、30个学豆的奖励,游戏还规定,当选手闯过一关后,可以选择带走相应的学豆,结束游戏,也可以选择继续闯下一关,若有任何一关没有闯关成功,则全部学豆归零,游戏结束.设选手甲能闯过第一关、第二关、第三关的概率分别为

4
5
,
3
4
,
2
3
,选手选择继续闯关的概率均为
1
2
,且各关之间闯关成功与否互不影响.
上一题 下一题 0.0难度 选择题 更新时间:2019-09-11 02:08:38

答案(点此获取答案解析)

同类题4

阅读理解

    There was good news last week for people who struggle to get eight hours of sleep a night: they may not need so much shut-eye after all.

    Researchers from UCLA and elsewhere looked at sleep habits of remote hunter-gatherers in Tanzania, Namibia and Bolivia — groups with pre-industrial lifestyles whose sleep patterns are believed to reflect those of ancient humans. The researchers found that, on average, members of each group sleep a bit less than six and a half hours a night.

    The study, published in the academic journal Current Biology, indicates that “natural” sleep is less than eight hours a night and that modern society's numerous electronic distractions (分心) aren't necessarily to blame for people getting just six or seven hours of sleep.

    “The story that often gets out is that if you sleep for less than seven hours, you're going to die early,” he told me. “That's not true.”

    Yet Americans are addicted to getting more sleep — and on turning to medical shortcuts to help them.

    According to the Centers for Disease Control, as many as 70 million U.S. adults suffer from sleep disorders or sleeplessness. Only a third of Americans get the government's recommended seven to nine hours of sleep a night.

    About 9 million American adults use sleeping pills to help get a good night's rest, the CDC found. Siegel said the number of people relying on medicines “has gone up rather rapidly since then.”

    Industry consulting firm Global Data estimates that worldwide sales for sleeplessness medicines will run about $1.4 billion next year and reach $1.8 billion by 2023, recovering from lower sales in recent years because of cheaper generics(仿制药) hitting the market.

    Dr. Roy Artal, a sleep specialist in West Los Angeles, said it's understandable that busy people in today's go-go world would turn to medicines to speed up the sleep process. But all they're doing is building a reliance on powerful drugs for relatively little improvement.

    “There's no magic pill that makes us sleep when we want and wake up when we want,” Artal said. “The effects of sleeping pills tend to be modest.”

    He and other experts say the answer to sleeplessness isn't to be found in a pill bottle. It's in what's called “sleep hygiene (保健).”