Ram tosses two different coins simultaneously. find the probability of getting at least one tail.

Last updated at May 29, 2018 by Teachoo

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Example 9 Harpreet tosses two different coins simultaneously (say, one is of Re 1 and other of Rs 2). What is the probability that she gets at least one head? Total possible outcomes = (H, H) , (H, T), (T, H), (T, T) Number of possible outcomes = 4 Total outcomes where she get atleast one head = (H, H) , (H, T), (T, H) Number of outcomes where she get atleast one head = 3 P(she gets atleast one head) = (𝑁𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑜𝑢𝑡𝑐𝑜𝑚𝑒𝑠 𝑤ℎ𝑒𝑟𝑒 𝑠ℎ𝑒 𝑔𝑒𝑡𝑠 𝑎𝑡𝑙𝑒𝑎𝑠𝑡 𝑜𝑛𝑒 ℎ𝑒𝑎𝑑)/(𝑁𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑝𝑜𝑠𝑠𝑖𝑏𝑙𝑒 𝑜𝑢𝑡𝑐𝑜𝑚𝑒𝑠) = 3/4

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Rahim tosses two coins simultaneously. The sample space of the experiment is {HH, HT, TH, TT}.

Total number of outcomes = 4

Outcomes in favour of getting at least one tail on tossing the two coins =

∴ Probability of getting at least one tail on tossing the two coins `="Number of outcomes in favour"/"Total number of outcomes"=3/4`

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