Question

Numbers 1 to 10 are written on ten separate slips(one number on one slip), kept in a box and mixed well. One slip is chosen from the box without looking into it. What is the probability of -getting a number 6 .probability of getting a number less than 6
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Answer 1

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Numbers 1 to 10 are written on ten separate slips kept in a box and mixed well. One slip is chosen from the box without looking into it.

⋆ What is the probability of -getting a number 6 .

⋆probability of getting a number less than 6

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$1) \: \frac{1}{10}$

$2) \: \frac{1}{2}$

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$\huge\colorbox{cyan}{Formula}$

$Probability \: of \:getting \: an \: event= \frac{probability \: of \: an \: event}{Probability \: of \: an \: total \: outcomes}$

$p(a)=\frac{n(a)}{n(s)}$

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Total number = 10 (1,2,3,4,5,6,7,8,9,10)

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1) probability of getting 6

⇝Total number of getting no 6 in 10 slip = 1

$Probability \: of \: getting \: a \: number \: 6= \frac{n(A)}{n(S)}$

$\leadsto\frac{1}{10}$

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2) probability of getting less than 6

⇝Total number of getting less than 6 in 10 slip = 5 (1,2,3,4,5)

$Probability \: of \: getting \: a \: number \:lessthan \: 6= \frac{n(A)}{n(S)}$

$\leadsto\frac{5}{10}$

$\leadsto\frac{1}{2}$

[Hope this helps you.../]