Sample Spaces and Events Practice

You flip a fair coin once. Write the sample space S.

S = {H, T}

You roll an eight-sided die numbered 1 through 8. Write the event E of rolling a prime number.

E = {2, 3, 5, 7}

You toss two coins. List the full sample space S.

S = {HH, HT, TH, TT}

From a standard deck, you draw one card and record only its suit. Write the sample space S.

S = {Clubs, Diamonds, Hearts, Spades}

You roll two four-sided dice, each numbered 1 to 4. How many total outcomes are in the sample space?

16 outcomes (4 times 4).

Using two four-sided dice (numbered 1 to 4), list the outcomes that form the event E where the sum of the dice equals 5.

E = {(1, 4), (2, 3), (3, 2), (4, 1)}

A spinner has three equal sections labeled Red, Blue, and Green. You spin it twice. List all outcomes where the color changes on the second spin.

E = {(Red, Blue), (Red, Green), (Blue, Red), (Blue, Green), (Green, Red), (Green, Blue)}