Math, asked by samantikaviid, 4 months ago

Fifteen balls are numbered from 1 to 15 and one ball is chosen at random. Find the probability of choosing a ball with: a) 2-digit number b) number divisible by 3

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Answers

Answered by cool1403
7

\huge\underline\mathfrak\pink{Answer⤵}

a) 2 digit number

Solution:-

Total numbers=15

Number of 2 digits=6

Probability=15/6

Probability=2.5%

b)Number divisible by 3

Solution:-

Total numbers=15

Number of 3 multiples=5

Probability=15/5

Probability=3%

Hope it helps..

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Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.

Answered by ImperialGladiator
46

Answer:

◩ a) probability of getting 2-digit numbers is :

\sf \to \frac{2}{5} \\

◩ b) Probability of getting numbers divisible by 3 is :

\sf \to \frac{1}{3} \\

Step-by-step explanation:

Given that, 15 balls are named from 1 to 15 where a random ball is being chosen.

In case of (a) :

➡ 2-digit numbers between 1 to 15 are :

= 10, 11, 12, 13, 14, and 15

So, there are 5 numbers out of 15 to get a probability of 2-digit number

Hence, The probability is :

\sf \to \frac{6}{15} \\ \: or, \to \frac{2}{5}\\

In case of (b) :

Number divisible by 3 between 1 to 15 are :

= 3, 6, 9, 12, and 15

So, there are 5 numbers divisible by 3 between 1 to 15.

Hence, The probability is :

\sf \to \frac{1}{3} \\

Formula used in both the cases :

 \bigstar{ \underline{ \boxed{ \sf{probability =  \frac{favourable \: outcomes}{total \: outcomes} }}}} \bigstar

Note behind :

  • Here, using the formula of probability we have first counted the favourable outcomes.
  • So, in case of (a) the favourable outcomes of getting 2-digit numbers are 10, 11, 12, 13, 14, and 15 which is 6.
  • And also, in case of (b) the favourable outcomes of getting numbers divisible by 3 are : 3, 6, 9, 12, and 15 which is 5.
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