On a particular day, Vidhi and Unnati couldn’t decide on who would get

Question 30 On a particular day, Vidhi and Unnati couldn’t decide on who would get to drive the car. They had one coin each and flipped their coin exactly three times. The following was agreed upon: (1) If Vidhi gets two heads in a row, she would drive the car (2) If Unnati gets a head immediately followed by a tail, she would drive the car. Who has greater probability to drive the car that day? Justify your answer.When coin is flipped 3 times, we can get H, H, H H, H, T H, T, H H, T, T T, T, T T, T, H T, H, T T, H, H T, T, T T, T, H T, H, T T, H, H Thus, our outcomes are HHH, HHT, HTH, THH, HTT, THT, TTH, TTT Now, let’s find individual probabilities Vidhi If Vidhi gets two heads in a row, she would drive the car Situations where we get two heads in a row are HHH, HHT, THH, Thus, Favorable outcomes = 3 Total outcomes = 8 Now, Probability (Vidhi drives the car) = 𝟑/𝟖 Unnati If Unnati gets a head immediately followed by a tail, she would drive the car. Situations where we get head immediately followed by tail are HHT, HTH, HTT, THT Thus, Favorable outcomes = 4 Total outcomes = 8 Now, Probability (Unnati drives the car) = 𝟒/𝟖 Since P(Unnati) > P(Vidhi) Thus, Unnati will drive the car

Question 30 - CBSE Class 10 Sample Paper for 2026 Boards - Maths Standard - Solutions of Sample Papers for Class 10 Boards

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