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Question

Question: The least no. of times a coin must be tossed so that the probability of getting atleast one head is ...

The least no. of times a coin must be tossed so that the probability of getting atleast one head is atleast 0.9 is

A

3

B

4

C

5

D

6

Answer

4

Explanation

Solution

1nC012n0.91 - { } ^ { \mathrm { n } } C _ { 0 } \frac { 1 } { 2 ^ { \mathrm { n } } } \geq 0.9

12n0.1\frac { 1 } { 2 ^ { n } } \leq 0.1

2n ≥ 10

n = 4