How many heads will you get as the most probable outcome when 4 coins are tossed? What is the probability for this outcome? [3 MARKS]

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Solution

Process : 2 Marks
Result : 1 Mark

There is only one outcome for 0 heads: TTTT
There are 4 outcomes for 1 head: HTTT, THTT, TTHT, TTTH
There are 6 outcomes for 2 heads: HHTT, HTHT, HTTH, THHT, THTH, TTHH
There are 4 outcomes for 3 heads: HHHT, HHTH, HTHH, THHH
There is only one outcome for 4 heads: HHHH
Thus, we can see that the most probable outcome is 2 heads, and the probability is $\frac{6}{16}$ = $\frac{3}{8}$ .

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