Challenge!
topic = data handling
(15) A dice is tossed once. Find the probability of getting (a) a number greater than 4 (b) an even number
Answers
Explanation:
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Question
A dice thrown once. find the probability of getting
a) even number
c) number greater than 4
b) prime number
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Solution:.
When a dice is thrown possibke outcomes are ⇒1,2,3,4,5,6..
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EvenNo.
The numbers that are dibisible by 2 are known as Even nunbers..For Eg:. 4,6,18,34 etc..
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PrimeNo.
The numbers that are divisible by 1 and the number itself are known as Prime Numbers .For Eg:. 3,5,7 etc..
a) Even numbers⇒2,4,6
Total⇒3
Probability⇒\frac{No.\:of\:fav\:Outcomes}{Total\:no.\:of\:Outcomes}
Totalno.ofOutcomes
No.offavOutcomes
⇒\cancel\frac{3}{6}⇒\frac{1}{2}
6
3
⇒
2
1
c)Number greater than 4 ⇒5 and 6
Total⇒2
Probability⇒\frac{No.\:of\:fav\:Outcomes}{Total\:no.\:of\:Outcomes}
Totalno.ofOutcomes
No.offavOutcomes
⇒\cancel\frac{2}{6}⇒\frac{1}{3}
6
2
⇒
3
1
b)Prime numbers=3,2,5
Total⇒3
Probabilty⇒\frac{No.\:of\:fav\:Outcomes}{Total\:no.\:of\:Outcomes}
Totalno.ofOutcomes
No.offavOutcomes
⇒\cancel\frac{3}{6}⇒\frac{1}{2}
6
3
⇒
2
1