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Question

Two coins are tossed simultaneously 500 times and the outcomes are noted as given below:
Outcome: Two heads
(HH)
One head
(HT or TH)
No head
(TT)
Frequency: 105 275 120
If same pair of coins is tossed at random, find the probability of getting (i) Two heads (ii) One head (iii) No head.

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Solution

Number of trials = 500
Number of outcomes of two heads (HH) = 105
Number of outcomes of one head (HT or TH) = 275
Number of outcomes of no head (TT) = 120

(i) Probability of getting two heads =frequency of getting 2 headsTotal number of trails=105500=21100

(ii) Probability of getting one head =frequency of getting 1 headTotal number of trails=255500=1120

(iii) Probability of getting no head =frequency of getting no headTotal number of trails=120500=625

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