A coin and a six-sided die are tossed. what is the probability of getting tails and a number less than or?

Question

equal to 2?

Answer 1

50%.

Either you do, or you don't.

Answer 2

The best way to answer this is to work out both separately and then work out the probability of both.

The possibilities with the coin are the easiest. A coin has only two possibilities: heads and tails. Therefore the probability of getting tails is one out of two, or 1/2 (50%)

With a six-sided die there are a total of six possibilities. There are only two possibilities less than or equal to two (1 and two) Therefore the possibility of getting a number less than or equal to 2 is two out of six, or 2/6 = 1/3

The possibility of both happening is the multiplication of the individual odds: 1/3 * 1/2 = 1/6.

Therefore 1 out of six chances or 1/6.

Another way to look at it is the sample space of the event. For example, there are only two sample spaces for a coin (H is Heads and T is Tails), {H, T} For two coins, there are four, {HH, HT, TH, TT}

For one six-sided die there are 6, {1, 2, 3, 4, 5, 6}

Looking at your question, the sample space would be the following possibilities: {H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, T6} Counting them there are a total of twelve possibilities. However, there are only two that meet the requirements of "Tails and less than or equal to 2" {T1, T2}. The result is two chances out of twelve. 2/12 or 1/6 which is the same result with the first method.

It is good to understand sample space, but in a large sample space (say odds of one number with 20 six-sided die) it is much easier to calculate as we did above.

Hope this helps!

Answer 3

Independent events.

Coin coming up tails is 1/2
Number less than or equal to 2 is 2/6

Multiply - 1/2 x 2/6 = 2/12 = 1/6 = 0.167

Answer 4

Probability of getting tails is 50%. Probability of rolling a 1 or 2 is 33%. Probability of both happening is 50% x 33% or 16.7%.

More accurately: 1/2 * 2/6 = 1/6 = 0.166667

Answer 5

one sixth trust me i just got an a+ on a test with a question identical to it 1/2 x 2/6 = 2/12 which simplifies into 1/6

Answer 6

3/25

Answer 7

0ne sixth is correct:

(1/2) * (2/6)