Two coins are tossed simultaneously 500 times and the outcomes are not

1.	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:105275120If same pair of coins is tossed at random, find the probability of getting:(i) Two heads(ii) One head(iii) No head.
Answer» Given number of trials = 500 From the given table it is clear that, 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 heads/ total number of trials = 105/500 = 21/100 (ii) Probability of getting one head = frequency of getting 1 heads/ total number of trials = 275/500 = 11/20 (iii) Probability of getting no head = frequency of getting no heads/ total number of trials = 120/500 = 6/25

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:105275120If same pair of coins is tossed at random, find the probability of getting:(i) Two heads(ii) One head(iii) No head.

Answer»

Given number of trials = 500

From the given table it is clear that,

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 heads/ total number of trials

= 105/500

= 21/100

(ii) Probability of getting one head = frequency of getting 1 heads/ total number of trials

= 275/500

= 11/20

(iii) Probability of getting no head = frequency of getting no heads/ total number of trials

= 120/500

= 6/25

Discussion

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