Q) 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.

Q30 – Sample Question Paper – Set 1 – Maths Standard – CBSE 2026

Ans:

Step 1: Here, coin needs to be tossed 3 times, hence there are 8 possible outcomes are:

HHH, HHT, HTH, HTT, THH, THT, TTH, TTT

Step 2: Since Vidhi needs 2 consecutive Heads to win, there are 3 such possible outcomes, i.e. HHH, HHT, THH

Therefore, the Vidhi’s probability to win = Favourable outcomes / Total outcomes

= 3 / 8

Step 3: Since Unnati needs “a Head followed by a Tail” to win, there are 4 such possible outcomes, i.e. HHT, HTH, HTT, THT

Therefore, the Vidhi’s probability to win = Favourable outcomes / Total outcomes

= 4 / 8

Since 4/8 > 3/8, therefore, Unnati has higher probability to drive the car that day.

Please press the “Heart”, if you liked the solution.