a dice is thrown . find the probability of getting :
i. a number 3
ii. an even number
iii. a number greater than 6

1 thought on “a dice is thrown . find the probability of getting :<br />i. a number 3 <br />ii. an even number<br />iii. a number greater than 6”

1. Step-by-step explanation:

   Given:–

   A die is thrown.

   To find:–

   Find the probability of getting :

   i. a number 3

   ii. an even number

   iii. a number greater than 6

   Solution:–

   A die is thrown once then

   Sample Space ={1,2,3,4,5,6}

   The total number of all possible outcomes = 6

   Throwing a die is a random experiment then the probability of an event E is P(E)

   • =Number of favourable outcomes/Total number of all possible outcomes

   I)A number 3:-

   Number of favourable outcomes to 3 = 1

   Probability of getting a number 3 on the die

   P(3)=1/6

   ii)an even number:-

   Even numbers on the die = 2,4,6

   Number of favourable outcomes = 3

   Probability of getting an even number =

   =>P(e)=3/6

   P(e)=1/2

   iii)a number greater than 6:–

   Since there is only numbers 1,2,3,4,5,6 on a die and there is no chance to get greater than 6

   Number of favourable outcomes = 0

   Probability of getting a number greater than 6 =

   P(greater than 6)=0/6

   P(greater than 6)=0

   It is an impossible event.

   Answer:–

   • I) Probability of getting a number 3 on the die =1/6

   • ii) Probability of getting an even number =1/2

   • Probability of getting a number greater than 6 = 0

   Used formulae:–

   • Probability of an event E is P(E)=Number of favourable outcomes/Total number of all possible outcomes

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