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The probability of the fair spinner landing only once on yellow in two spins is 0.375. Option C is the correct option.
<h3>What is probability?</h3>Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.
As, the probability of an event can not be more than the number 1.
Thus, the probability of failure of a event is equal to the difference of the 1 to the success of the event. As,
The data in the theoretical probability table for the fair spinner having 4 different color is listed below.
Yellow Frequency
0 9
1 6
2 1
For the 4 different color (red, green, blue, yellow) and rotating the spinner two times, there is total 16 outcomes as,
{RR, BB, YY, GG, RB, BR, RY, YR, RG, GR, BY, YB, BG, GB, YG, GY}
Total number of Y appear probability at one time in the table is 6. Thus the probability of the fair spinner landing only once on yellow in two spins is,
Hence, the probability of the fair spinner landing only once on yellow in two spins is 0.375. Option C is the correct option.
Learn more about the probability here;