A fair coin is tossed n - times such that the probability of getting at least one head is at least 0 . 9 .…

A fair coin is tossed n- times such that the probability of getting at least one head is at least 0.9. Then the minimum value of n is _______.

Solution

When a coin is tossed, then probability of head, PHead=PTail=12

Therefore, 1-P (All tail)≥0.9

⇒1-12n≥0.9

⇒12n≤110

⇒nmin=4.

Asked in: JEE Main 2021 (25 Jul Shift 2)

Practice more Probability questions on Aicharya