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
7
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%
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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
46
Answer:
◩ a) probability of getting 2-digit numbers is :
◩ b) Probability of getting numbers divisible by 3 is :
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 :
❐ 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 :
Formula used in both the cases :
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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