Q30 of 43 Page 15

A fair coin is tossed four times and a person win Re. 1 for each head and lose Rs.1.50 for each tail that turns up. From the sample space calculate how many different amounts of money you can have after four tosses and the probability of having each of these amounts.


S = {HHHH, HTHH, HHTH, HHHT, THHH, HTTH, HTTT, TTTT, THTT, THHT, TTHH, TTHT, TTTH, THTH, HTHT, HHTT}

Number of possible outcomes = 16.

The different amounts of money for these outcomes are as follows:

Outcomes

Amount of money

(i) HHHH

Rs. 4.00 gain

(ii) HTHH, HHTH, THHH, HHHT

Each Rs. 1.50 gain

(iii) HTTH, THHT, THTH, HTHT, HHTT, TTHH

Each Rs. 1.00 loss

(iv) HTTT, THTT, TTHT, TTTH

Each Rs. 3.50 loss

(v) TTTT

Rs. 6.00 loss

Probability (Winning Rs. 4.00) =

Probability (Winning Rs. 1.50) = =

Probability (Losing Rs. 1.00) = =

Probability (Losing Rs. 3.50) = =

Probability (Losing Rs. 6.00) = .

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