Question

a thumbtack that is tossed can land point up or point down. the probability of a tack landing point up is 0.2. a simulation was conducted in which a trial consisted of tossing 5 thumbtacks and recording the number of thumbtacks that land point up. many trials of the simulation were conducted and the results are shown in the histogram.
based on the results of the simulation, which of the following is closest to the probability that at least 2 thumbtacks land pointing up when 5 thumbtacks are tossed?

Explanation:

Step1: Understand the problem

We need to find the probability that at least 2 thumb tacks land point up. This means we need to sum the relative frequencies for 2, 3, 4, and 5 successes.

Step2: Read the relative frequencies from the histogram

From the histogram, the relative frequency for 2 successes is approximately 0.20, for 3 successes is approximately 0.05, for 4 successes is approximately 0.02, and for 4 successes is approximately 0.02.

Step3: Calculate the sum

$$
LATEXBLOCK0
$$

Answer:

The probability that at least 2 thumb tacks land pointing up when 5 thumb tacks are tossed is approximately 0.29.