Question

If two people are selected at random, what is the probability that they were both born in May?If two people are selected at random, what is the probability that they were both born in May?

Answer 1

\(\normalsize\color{red}\bigstar\large\color{gold}\bigstar\Large\color{greenyellow}\bigstar\large\color{cyan}\bigstar\normalsize\color{blue}\bigstar\large\color{purple}\bigstar\Large\color{magenta}\bigstar\large\color{pink}\bigstar\normalsize\color{orchid}\bigstar\large\color{red}\bigstar\Large\color{gold}\bigstar\large\color{greenyellow}\bigstar\Large\color{cyan}\bigstar\large\color{blue}\bigstar\normalsize\color{purple}\bigstar\large\color{magenta}\bigstar\Large\color{pink}\bigstar\large\color{orchid}\bigstar\normalsize\color{red}\bigstar\)

\(\Large\cal\hspace{45 pt}\color{red}◇\color{red}\heartsuit\hspace{2 pt}\color{red}W\color{gold}E\color{greenyellow}L\color{lime}C\color{cyan}O\color{purple}M\color{magenta}E\hspace{2 pt}\color{magenta}\heartsuit\hspace{-3 pt}\color{magenta}◇\)
\(\Large\cal\hspace{95 pt}\color{orchid}T\color{pink}O\)
\(\Large\hspace{37 pt}\color{plum}◇\Large\color{plum}\heartsuit\hspace{2 pt}\LARGE\cal\color{plum}O\large\color{salmon}P\color{red}E\color{orange}N\LARGE\color{gold}S\large\color{greenyellow}T\color{lime}U\color{cyan}D\color{purple}Y\color{magenta}!\hspace{2 pt}\Large\color{magenta}\heartsuit\hspace{-3 pt}\color{magenta}◇\)

\(\Large\bf\hspace{31 pt}\color{red}/\color{gold})\hspace{0 pt}\Large\color{greenyellow}♔ \color{cyan}/\color{purple})\hspace{55 pt}\Huge\color{yellow}☀\)
\(\Large\bf\hspace{14 pt}\color{red}O\color{red}(\hspace{0 pt}\color{gold}⌒\hspace{5 pt}\small\color{greenyellow}‿\Large\color{cyan}⌒\hspace{1 pt}\color{purple})\color{magenta}o\small\color{magenta}━\color{magenta}━\small\color{orchid}◇\normalsize\color{pink}☆\large\color{red}\bigstar\small\color{gold}☆\small\color{yellow}◇\small\color{lime}\bigstar\Large\color{greenyellow}☆\normalsize\color{cyan}\bigstar\small\color{blue}☆\color{purple}◇\color{magenta}\bigstar\scriptsize\color{orchid}☆\color{pink}◇\)
\(\Large\bf\hspace{7 pt}\color{red}☁\large\hspace{2 pt}\color{red}O\color{orangered}(\color{gold}"\color{greenyellow})\hspace{0 pt}\color{greenyellow}(\color{cyan}"\color{purple})\Large\color{magenta}☁\color{orchid}☁\color{cyan}☁\color{lime}☁\color{greenyellow}☁\color{yellow}☁\color{orange}☁\color{orangered}☁\color{red}☁\color{red}☁\)
\(\LARGE\scr\color{red}☁\color{red}☁\color{orangered}☁\color{gold}☁\color{greenyellow}☁\color{lime}☁\color{cyan}☁\color{aqua}☁\color{blue}☁\color{purple}☁\color{magenta}☁\color{orchid}☁\color{pink}☁\color{plum}☁\)
\(\normalsize\color{red}\bigstar\large\color{gold}\bigstar\Large\color{greenyellow}\bigstar\large\color{cyan}\bigstar\normalsize\color{blue}\bigstar\large\color{purple}\bigstar\Large\color{magenta}\bigstar\large\color{pink}\bigstar\normalsize\color{orchid}\bigstar\large\color{red}\bigstar\Large\color{gold}\bigstar\large\color{greenyellow}\bigstar\Large\color{cyan}\bigstar\large\color{blue}\bigstar\normalsize\color{purple}\bigstar\large\color{magenta}\bigstar\Large\color{pink}\bigstar\large\color{orchid}\bigstar\normalsize\color{red}\bigstar\)

I don't know the answer to your question, but I know someone else will come and help you ;p You know you can give a medal to people? If you look tot he side of someone's response to your question, and click "Best Response" it will show that you appreciate a person's help for you! You should always give a medal to someone who helped you. Got anymore questions? Well just ask me ;)

Answer 2

The probability that a randomly selected person was born in May is 1/12. The probability that another randomly selected person was born in May is also 1/12. The two events 'first person was born in May' and 'second person was born in May' are independent. Therefore the probability that both were born in May is given by:
\[P(both\ born\ May)=\frac{1}{12}\times \frac{1}{12}=you\ can\ calculate\]