Find the probability of each below mentioned event when a dice is thro

1.	Find the probability of each below mentioned event when a dice is thrown(i) A prime number(ii) No prime number(iii) number more than 3(iv) Number not more than 5(v) An odd number.
Answer» Total number of outcomes when a dice is thrown = 6 (1, 2, 3, 4, 5, 6) (i) Total number of favorable outcomes = 3 (2, 3, 5) ∴Required Probability = 3/6 = 1/2 (ii) Total number of favorable outcomes = 3 (1, 4, 6) ∴Required Probability = 3/6 = 1/2 (iii) Total number of favorable outcomes = 3 (4, 5, 6) ∴Required Probability = 3/6 = 1/2 (iv) Total number of favorable outcomes = 5 (1, 2, 3, 4, 5) ∴Required Probability = 5/6 (v) Total number of favorable outcomes = 3 (1, 3, 5) ∴Required Probability = 3/6 = 1/2

Find the probability of each below mentioned event when a dice is thrown(i) A prime number(ii) No prime number(iii) number more than 3(iv) Number not more than 5(v) An odd number.

Answer»

Total number of outcomes when a dice is thrown
= 6 (1, 2, 3, 4, 5, 6)

(i) Total number of favorable outcomes = 3 (2, 3, 5)

∴Required Probability = 3/6 = 1/2

(ii) Total number of favorable outcomes = 3 (1, 4, 6)

∴Required Probability = 3/6 = 1/2

(iii) Total number of favorable outcomes

= 3 (4, 5, 6)

∴Required Probability = 3/6 = 1/2

(iv) Total number of favorable outcomes = 5 (1, 2, 3, 4, 5)

∴Required Probability = 5/6

(v) Total number of favorable outcomes = 3 (1, 3, 5)

∴Required Probability = 3/6 = 1/2

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