Question

you have 2 coins: one penny and one nickel. consider the probability of flipping both coins in a cup and recording the combination as one outcome, with the outcome of the penny first and then the nickel. the sample space of the outcomes would be as follows: s = {hh, ht, th, tt} compute the classical probability of getting heads on both coins in one cup flip. enter as a decimal and round to 2 decimal places if necessary. answer: the p(both coins = h) = __________

Explanation:

Step1: Identify favorable outcomes

There is 1 outcome of getting HH (both heads).

Step2: Identify total outcomes

The sample - space $S=\{HH, HT, TH, TT\}$, so there are 4 total outcomes.

Step3: Calculate probability

The classical probability formula is $P(A)=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. Here, $P(\text{both coins}=H)=\frac{1}{4}$.

Answer:

0.25