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

Question

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

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Rose 11 months 2021-07-05T04:43:47+00:00 1 Answers 0 views 0

Answers ( )

    0
    2021-07-05T04:45:07+00:00

    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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