The value which is expected for the number of heads when a coin is flipped twice is 1. The value of a, b, and c is 0.25, 0.50, and 0.25 respectively.
Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.
The 4-column 2 rows table which shows the number of heads and probability of that is shown below.
Heads 0 1 2
Probability. a b c
When a coin is flipped two times, then we get the four outcomes. The sample space for flipping a coin twice is,
[tex]{HH, HT,TH, TT}[/tex]
Here, the H represent the head and T represent the tail. Only one time in four events there is no head appear. In this sample space, the probability of 0 heads both the time is,
[tex]P_0=\dfrac{1}{4}=0.25[/tex]
The 1 head appears twice in the sample space (HT, TH). Thus, the probability of 1 heads both the time is,
[tex]P_1=\dfrac{2}{4}=0.50[/tex]
On both flip, head appears a single time in the sample space (HH). Thus, the probability of 2 heads both the time is,
[tex]P_2=\dfrac{1}{4}=0.25[/tex]
The new table for these values is attached below.
Hence, the value which is expected for the number of heads when a coin is flipped twice is 1. The value of a, b, and c is 0.25, 0.50, and 0.25 respectively.
Learn more about the probability here;
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