Question

A die is thrown 100 times and following observations were recorded

Answer 1

(i) Total outcomes = 100
Favourable outcomes of getting a number 3 = 14
p(x) = favourable outcomes/total outcomes
p(getting number 3) = 14 / 100 = 0.14

(ii) Total outcomes = 100
Favourable outcomes of getting a number greater than 4 (i.e. 5 and 6) = 14 + 16 = 30
p(x) = favourable outcomes/Total outcomes
p(getting a number greater than 4) = 30/100 = 0.30

(iii) Total outcomes = 100
Favourable outcomes of getting an even number (i.e.2, 4, 6) = 18 + 26 + 16 = 60
p(x) = favourable outcomes/total outcomes
p(getting an even number) = 60 / 100 = 0.60

(iv) Total outcomes= 100
Favourable outcomes of getting a prime number (i.e. 2, 3, 5) = 18 + 14 + 14 = 46
p(x) = favourable outcomes/total outcomes
p(getting a prime number) = 46 / 100 = 0.46

Answer 2

Answer:

(i) Total outcomes = 100

Favourable outcomes of getting a number 3 = 14

p(x) = favourable outcomes/total outcomes

p(getting number 3) = 14 / 100 = 0.14

(ii) Total outcomes = 100

Favourable outcomes of getting a number greater than 4 (i.e. 5 and 6) = 14 + 16 = 30

p(x) = favourable outcomes/Total outcomes

p(getting a number greater than 4) = 30/100 = 0.30

(iii) Total outcomes = 100

Favourable outcomes of getting an even number (i.e.2, 4, 6) = 18 + 26 + 16 = 60

p(x) = favourable outcomes/total outcomes

p(getting an even number) = 60 / 100 = 0.60

(iv) Total outcomes= 100

Favourable outcomes of getting a prime number (i.e. 2, 3, 5) = 18 + 14 + 14 = 46

p(x) = favourable outcomes/total outcomes

p(getting a prime number) = 46 / 100 = 0.46

Step-by-step explanation: