Question

Q.12 A dice is thrown once. What is probability that shows a: (i) 3 (ii) an even number (iii) greater than 4​

Answer 1

Required Answer

• Probability that the dice shows number 3 = 1/6
• The probability that the dice shows number an even number = 1/2
• The probability that the dice shows a number greater than 4 = 1/3

Given :

• A dice is thrown once.

To find :

• The probability that the dice shows :
• Number = 3
• an even number
• greater than 4

Solution :

⇒ Total outcomes = 6

{1, 2, 3, 4, 5, 6}

(i) Probability that the dice shows number 3 :

⇒ Possible outcomes = 1

{3}

⇒ Probability = Possible outcomes ÷ Total outcomes

⇒ Probability (dice shows number 3) = 1/6

(ii) The probability that the dice shows number an even number :

⇒ Possible outcomes = 3

{2, 4, 6}

⇒ Probability = Possible outcomes ÷ Total outcomes

⇒ Probability (dice shows an even number) = 3/6

⇒ Probability (dice shows an even number) = 1/2

(iii) The probability that the dice shows a number greater than 4 :

⇒ Possible outcomes = 2

{5, 6}

⇒ Probability = Possible outcomes ÷ Total outcomes

⇒ Probability (dice shows a number greater than 4) = 2/6

⇒ Probability (dice shows a number greater than 4) = 1/3