Question

Three fair coins, a dime, a nickel, and a quarter are tossed in that order. Answer each of the following, round any probabilities to three decimal places.

1. What is the sample space for this event?
2. What is the probability of the dime landing on heads?

Answer 1

The sample space for tossing three fair coins is {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}. The probability of the dime landing on heads is 3/8 or 0.375.

Step-by-step explanation:

The sample space for this event of tossing three fair coins in order is:

{HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}

So, the sample space has 8 outcomes.

The probability of the dime landing on heads can be calculated by looking at the outcomes where the dime lands on heads, which are {HTH, HTT, THH, THT, TTH, TTT}. There are 3 of these outcomes, so the probability is 3/8 or 0.375.