Question

When an experiment is more complex constructing a probability diagram or possibility diagram may be helpful in constructing the sample space.

Example:

The diagram shows two spinners, each of which is divided into 4 equal sectors. Each spinner has a pointer which, when spun, is equally likely to come to rest in any of the four equal sectors.


In a game, each pointer is spun once.

Find the probability that
a) the pointers will stop at the same number
b) the first spinner shows the larger number.

Solution:

Construct the probability diagram. Each dot represents a possible outcome according to the coordinates.

possibility diagram

a) Let A = event of getting the same number on the two spinners.

From the probability diagram, n(A) = 4, n(S) = 16

P(A) =

b) Let B = event the first spinner shows the bigger number.

From the probability diagram, n(B) = 6

P(B) =​

Answer 1

Answer:

Construct the probability diagram. Each dot represents a possible outcome according to the coordinates.



a) Let A = event of getting the same number on the two spinners.

From the probability diagram, n(A) = 4, n(S) = 16

P(A) = 

b) Let B = event the first spinner shows the bigger number.

From the probability diagram, n(B) = 6

Answer 2

Answer:

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