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.

Answer 1

Histograms are used to represent data using bars.

The probability that at least 2 thumbtacks land pointing up when 5 thumbtacks are tossed is 0.28

The probability that at least 2 thumbtacks land pointing up when 5 thumbtacks are tossed is calculated using the following complement rule:

$P(x \ge 2) = 1 - P(0) - P(1)$

Using the values on the histogram (see attachment), we have:

$P(x \ge 2) = 1 - 0.33 - 0.39$

$P(x \ge 2) = 0.28$

Hence, the probability that at least 2 thumbtacks land pointing up when 5 thumbtacks are tossed is 0.28

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