Page 80 - Mathematics Class - X

6. Proceed in the same way for getting experimental probabilities for 3, 4, 5 and 6.

a a + a a + a + a a + a + ... a+ 1
7. The probabilities 1 , 1 2 , 1 2 3 , ..., 1 2 10 , are coming closer to and the last
50 100 150 500 6
a + a + ... a+ 1 b b + b b + b + b
probability 1 2 10 is closest to . Same will be the case for 1 , 1 2 , 1 2 3 , ...,
500 6 50 100 150
b + 1 b + 2 ... b+ 10 and so on.
500

8. The theoretical probability P(E) of an event E(say 1) = P(1)

Number of outcomes favourable to E 1
P (1) = =
∴ Number of all possible outcomes of the experiment 6

From Steps (7) and (8), it can be seen that the experimental probability of each number 1, 2, 3, 4, 5 and 6 is
1
very close to the theoretical probability .
6

Group Number of times a die Total number of times a number comes up
number is thrown in a group 1 2 3 4 5 6

I 50 a = b = c = d = e = f =
1 1 1 1 1 1

II 50 a = b = ---- ---- ---- ----
2 2

III 50 ---- ---- ---- ---- ---- ----

— — ---- ---- ---- ---- ---- ----

— — ---- ---- ---- ---- ---- ----

— — ---- ---- ---- ---- ---- ----

— — ---- ---- ---- ---- ---- ----

— — ---- ---- ---- ---- ---- ----

— — ---- ---- ---- ---- ---- ----

X 50 ---- ---- ---- ---- ---- ----

Total = 500 ---- ---- ---- ---- ---- ----

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