The probability of consonant C is 1/4.
Explanation:
- The spin board shown in the image has 4 different consonants that are A,B,C and D.
- Therefore, it can be determined that one spin gives the total possibilities of 4 outcomes which is equal to A,B,C,D.
1 spin = {A,B,C,D} = 4 possible outcomes.
For 2 spins, the outcome will be {A,B,C,D} and again {A,B,C,D}.
2 spin = {A,B,C,D} + {A,B,C,D} = 8 possible outcomes.
To find the probability of consonant C :
Probability = Number of required event / total possible events.
Here, the required event is consonant C. In 1st spin, the event of consonant C occurs one time.
Then, in the 2nd spin, the event of consonant C occurs one more time.
- The number of required event is 2.
- The total number of events is 8.
Probability (consonant C) = 2/8 ⇒ 1/4.