PROBABILTY
Sum based on alphabet Die
Q. A die is thrown once. Find the probability of getting
(i) a prime number ; (ii) a number lying between 2 and 6;
(iii) an odd number.
All the possible outcomes are 1, 2, 3, 4, 5, 6
Total no. of possible outcomes =
(ii) Let A be the event of getting a prime number
Outcomes favourable to A are 2, 3, 5
∴ No. of outcomes favourable to A =
(ii) Let B be the event of getting a number lying between 2 and 6
Outcomes favourable to B are 3, 4, 5
∴ No. of outcomes favourable to B =
Sol.
3
6
3
3
∴ P (A) =
3
6
∴ P (B) =
3
6
∴ P (C) =
3
6
(iii) Let C be the event of getting an odd number
Outcomes favourable to C are 1, 3, 5
∴ No. of outcomes favourable to C =
∴ No. of outcomes favourable to B =
(ii) Let B be the event of getting D
∴ P (A) =
Sol.
Q. A child has a die whose six faces show the letters as given below
The die is thrown once. What is the probability of getting
(i) A? (ii) D ?
All possible outcomes are A, B, C, D, E, A
Total no. of possible outcomes =
(i) Let A be the event of getting ‘A’
∴ No. of outcomes favourable to A =
A
B
C
D
E
A
6
2
1
∴ P (B)
Have you ever seen a die with an alphabet ?