1.

Two coins are tossed simultaneously 400 times and we get two heads : 180 times one head : 148 times no head : 72 times . If two coins are tossed at random , what is the probability of getting (i) 2 heads ? (ii) 1 head ? (iii) 0 head ?

Answer» Total number of trials = 400.
Number of times 2 heads appear = 180 .
Number of times 1 head appears = 148 .
Number of times 0 head appears = 72.
In a random toss of two coins let `E_(1) , E_(2), E_(3)` be the events of getting 2 heads , 1 head and 0 head respectively . Then ,
(i) P(getting 2 heads) = `P(E_(1))`
= `("number of times 2 heads appear")/("total number of trails")`
`= (180)/(400) = (9)/(20) = 0.45`
(ii) P (getting 1 head) = `P (E_(2))`
`= ("number of times 1 head appears")/("total number of trials")`
`= (148)/(400) = (37)/(100) = 0.37`.
(iii) P(getting 0 head) = `P (E_(3))`
`= ("number of times no head appears")/("total number of trials")`
`= (72)/(400) = (18)/(100) = 0.18`.


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