Q.8. Two coins are tossed. Find the probability of getting two heads when it is known that one Head has already occurred.

Let S be the sample space.S = HH,HT,TH,TTnS = 4Let E be the event of getting 2 heads.E = HHnE = 1Let F be the event of getting at least 1 head.F = HH,HT,THnF = 3PF = nFnS = 34Now, EF = HHnEF = 1PEF = nEFnS = 14Now, PE/F = PEFPF = 1/43/4 = 13

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Hi Tarul dear, even A is getting two cards as black
Now 2 cards can be drawn from 52 in 52 C 2 ways. That is 52 * 51/ 1 * 2 = 26 * 51
n(S) = 26 * 51
There are just half black cards. So 2 out of 26 can be drawn in 26 C2 ways. That is 26 * 25 / 1 *2 = 13 * 25
So n(A) = 13 * 25
Thus P(A) = n(A)/n(S) = 13 * 25 / 26 * 51 = 25 / 102 = 0.245
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What are you looking for?