You are ordering a hamburger and can get up to 7 toppings, but each topping can only be used once. You tell the cashier to surprise you with the toppings you get. What is the probability that you get 1 topping? Express your answer as a fraction or a decimal number rounded to four decimal places.

this can be seen as a binary situation where each value only has an on or off. this would be a binary number with seven digits such as 0100000 which has 256 possibilities and because only 7 of them have only one on the equation would be 7/128 = 0.0547 another way to find the number of combinations is by doing 2^7 = 128.

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indritachandra1999 indritachandra1999 · Answer 2 · 2022-06-17T13:06:05+02:00

The probability of getting 1 topping is 1/128.

What is probability?

Probability denotes the possibility of something happening. It's a field of mathematics that studies the probability of a random event occurring. From 0 to 1, the value is expressed.

P(Event) = Favorable cases / Total cases

In the given question for each topping there will be 2 cases, whether the topping will be there or whether the topping will not be there.

Total number of cases = 2 * 2 * 2 * 2 * 2 * 2 * 2 = 2^7 = 128

Favorable no. of cases = 1

P(1 topping) = 1 / 128

Hence the probability of getting 1 topping is 1 / 128.

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