Question

there are 25 ticket bearing numbers from 1 to 25.one ticket is dream at random.what is the probability that the number on it is a multiple of 5 or 6.​

Answer 1

$\huge{\underline{\sf{\red{Required\:Answer:}}}}$

$\orange{\hookrightarrow\:}$ $\rm{Probability = \dfrac{9}{25}  }$

$\large\bold{\underline{\underline{{Given:-}}}}$

${\bullet\:}$ Total number of tickets = 25.

$\large\bold{\underline{\underline{{To\:Find:-}}}}$

${\bullet\:}$ The probability that the number on it is a multiple of 5 or 6.

$\large\bold{\underline{\underline{{Solution:-}}}}$

${\bullet\:}$ Let e be the even of getting a multiple of 5 or 6.

Then,

$\purple{\star\:}$ $\rm{Multiples\:of\:5=5,10,15,20\:and\:25}$

$\purple{\star\:}$ $\rm{Multiples\:of\:6=6,12,18\:and\:24}$

$\orange{\hookrightarrow\:}$ $\rm{Number\:of\:favourable\:outcomes=9}$

$\rm{ \therefore\:P\:(getting\:a\:multiple\:of\:5\:or\:6) }$

$\large\boxed{\underline{\pink{\rm P (e) = \dfrac{9}{25}  }}}$

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Answer 2

ᴄᴏʀʀᴇᴄᴛ Qᴜᴇꜱᴛɪᴏɴ:-

There are 25 tickets bearing numbers from 1 to 25. One ticket is drawn at random. Find the probability that the number on it is a multiple of 5 or 6.

________________________________________

ɢɪᴠᴇɴ:-

Total Number of Tickets = 25

ᴛᴏ ꜰɪɴᴅ:-

• Probability of getting the number on it is a multiple of 5 or 6.

ꜱᴏʟᴜᴛɪᴏɴ:-

$\longmapsto\tt{Total\:Outcomes=25}$

$\begin{lgathered}\begin{lgathered}\begin{lgathered}\\\end{lgathered}\end{lgathered}\end{lgathered}$

$\longmapsto\tt{Possibility\;of\;multiple\;of\;5\;=5\:}$

$\begin{lgathered}\begin{lgathered}\begin{lgathered}\\\end{lgathered}\end{lgathered}\end{lgathered}$

$\longmapsto\tt{Possibility\;of\;multiple\;of\;6\;=4\:}$

$\begin{lgathered}\begin{lgathered}\begin{lgathered}\\\end{lgathered}\end{lgathered}\end{lgathered}$

$\longmapsto\tt{Total\:possible\;cases\;=5\:+\;4}$

$\begin{lgathered}\begin{lgathered}\begin{lgathered}\\\end{lgathered}\end{lgathered}\end{lgathered}$

$\longmapsto\tt{Probability=\frac{No.\:of\:Fav.\:Outcomes}{Total\:No.\:of\:Outcomes}}$

$\begin{lgathered}\begin{lgathered}\begin{lgathered}\\\end{lgathered}\end{lgathered}\end{lgathered}$

$\longmapsto\tt\bf{\dfrac{9}{25}}$

$\begin{lgathered}\begin{lgathered}\begin{lgathered}\\\end{lgathered}\end{lgathered}\end{lgathered}$

So , Probability of getting the number on it is a multiple of 5 or 6. is 9/25

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$\begin{lgathered}\qquad\qquad\boxed{\underline{\underline{\bigstar \: \bf\:More\:to\:know\:\bigstar}}} \\ \\\end{lgathered}$

Probability:-

• Probability of an event is defined as chances of occuring or happening of an event.

• Probability is also known as the numerical measure for a chance in situations.

• Probability of an event always lies between 0 and 1.

• Probability can never be negative.

• Mainly probability has been used in finding the most accurate conditions between any two outcomes.

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