[Class 10] Two coins are tossed simultaneously. What is probability

Question 31 Two coins are tossed simultaneously. What is the probability of getting (i) At least one head? (ii) At most one tail? (iii) A head and a tail?When 2 coins are tossed Possible outcomes = HH, TH, HT, TT Let’s solve each part individually (i) At least one head? Now, Outcomes with atleast with 1 head = HH, HT, TH Thus, P(getting atleast 1 head) = (𝑁𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑜𝑢𝑡𝑐𝑜𝑚𝑒𝑠 𝑤𝑖𝑡ℎ 𝑎𝑡𝑙𝑒𝑎𝑠𝑡 1 ℎ𝑒𝑎𝑑)/(𝑇𝑜𝑡𝑎𝑙 𝑛𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑜𝑢𝑡𝑐𝑜𝑚𝑒𝑠) = 𝟑/𝟒(ii) At most one tail? Now, Outcomes with atmost with 1 tail = HH, HT, TH Thus, P(getting atmost 1 tail) = (𝑁𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑜𝑢𝑡𝑐𝑜𝑚𝑒𝑠 𝑤𝑖𝑡ℎ 𝑎𝑡𝑚𝑜𝑠𝑡 1 𝑡𝑎𝑖𝑙)/(𝑇𝑜𝑡𝑎𝑙 𝑛𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑜𝑢𝑡𝑐𝑜𝑚𝑒𝑠) = 𝟑/𝟒 (iii) A head and a tail? Now, Outcomes with a head and a tail = HT, TH Thus, P(getting with a head and a tail ) = (𝑁𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑜𝑢𝑡𝑐𝑜𝑚𝑒𝑠 𝑤𝑖𝑡ℎ 𝑎 ℎ𝑒𝑎𝑑 𝑎𝑛𝑑 𝑎 𝑡𝑎𝑖𝑙)/(𝑇𝑜𝑡𝑎𝑙 𝑛𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑜𝑢𝑡𝑐𝑜𝑚𝑒𝑠) = 2/4 = 𝟏/𝟐

Question 31 - CBSE Class 10 Sample Paper for 2023 Boards - Maths Standard - Solutions of Sample Papers for Class 10 Boards

Two coins are tossed simultaneously. What is the probability of getting

(i) At least one head?

(ii) At most one tail?

(iii) A head and a tail?

Davneet Singh

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