1.

5. Find the sample space of the following a) A fair coin and a dice is rolledtogether. b) Three coins are tossed at the sametime.

Answer»

The two can land seperately.The coin can land on top of the dieThe die can land on top of the coin.Three ways.The die always lands with one face up. The coin always lands with one face up. One way.The die can land a centimeter to the left of the coinThe die can land 11mm to the left of the coinThe die can land 12mm to the left of the coin…A LARGE number of ways.The die can land one degree off line from “to the left of the coin”The die can land two degrees off line from “to the left of the coin…”360 ways.The problem here, as you can see, is that there may be an infinity of ways, or there may be a number constrained by the… constraints, you put on your request. But you failed to tell us what exactly those constraints are.IF you mean if you have one item with two possible results in CONJUNCTION with a second item with six possible results, how many different such conjunctions are there? Well that’s easy, you just multiply the two TOGETHER. There are six ways for the die to land if the coin lands HEADS, six ways for the die to land if the coin lands heads, what’s six TWICE?But since you didn’t clarify, we can multiply THAT result by any of the other results which had to do with positions the objects could have landed in relative to each other.



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