Question

A manufacturer is testing 4 brands of soda in a blind taste test. The participants know the brands being tested but do not know which is which. What is the probability that a participant will identify all 4 brands correctly by guessing?

Answer 1

Answer:

0.04

Step-by-step explanation:

I took 1 and divided it by 4. which is 0.25. and then I took 1 and divided it by 3. and then 2 and then 1. Then you multiply each one like 0.25 x 0.3333333 x 0.5 x 1 and then it comes out to 0.0416666667.

Answer 2

The probability that a participant will identify all 4 brands correctly by guessing is 0.04.

What is probability?

'Probability is defined as the possibility of an event to happen is equal to the ratio of the number of outcomes and the total number of outcomes.'

According to the given problem,

Probability of correctly guessing first brand out of 4 = $\frac{1}{4}$

Probability of correctly guessing the second brand out of 3 = $\frac{1}{3}$

Probability of correctly guessing third brand out of 2 = $\frac{1}{2}$

Probability of correctly guessing fourth brand out of 1 = 1

The probability that a participant will identify all 4 brands correctly by guessing = $\frac{1}{4}$ × $\frac{1}{3}$ × $\frac{1}{2}$ × 1

               = 0.04

Hence, we can conclude, the probability that a participant will identify all 4 brands correctly by guessing is 0.04.

Learn more about probability here: https://brainly.com/question/9793303

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