a coin and a die are tossed together. find the probability of getting either a head and 5 or tail and 6
Answers
Answer:
When a coin alone is tossed, the outcomes are Heads and Tails. So there are 2 outcomes.
When a die alone is thrown, the outcomes are 1,2,3,4,5, and 6. So there are 6 outcomes.
So when both the coin and the die are thrown simultaneously, each outcome of a coin gets associated with each outcome of the die. Hence there will be 2 x 6 = 12 pairs of outcomes.
The sample space S contains 12 pairs of outcomes. So, n(S) = 12.
Now we want a head and a six as the outcome. Therefore, the desired event E is getting a head and a six. There is only one outcome like that in the sample space. So, n(E) = 1
Hence the probability of obtaining a head and a six = n(E)/n(S) = 1/12.
The rule for two independent results like this is to multiply the probabilities together. The Prob(head) for a standard coin is 1/2 since one side is heads and the other is tails. The Prob(six) on a standard die is 1/6 since there is one six on one face of the die and 1 -5 on the other faces. Then you multiply 1/2 x 1/6 and the answer must be 1/12.
A coin has a 50% chance of landing on heads, because heads is 1 of the 2 possibilities
A 6-sided die (I assume you mean, but I like icosahedral die)
Would have 1 1 in 6 chance of landing on a 6, or 16.667%
The chances of BOTH happening is the same as the 2 percentages multiplied
Or 8.3333333%
That is a 1 in 12 chance
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What is the probability of getting a number sum of 12 if two dice are thrown?
If two normal dice are thrown together, what is the probability of getting a sum of 7?
1/12
A coin and die are thrown simultaneously, what are the numbers of possible outcomes?
What is the probability of getting a number sum of 12 if two dice are thrown?
If two normal dice are thrown together, what is the probability of getting a sum of 7?
What is the probability that when a die is rolled and a coin is tossed, the die shows an odd number and the coin shows a head?
Suppose a coin is tossed 3 times. What is the probability of obtaining
Concept:
Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about how probable an event is to happen, or its chance of happening. Probability can range from 0 to 1, with 0 denoting an impossibility and 1 denoting a certainty. One is the probability of every event in a sample space.
Given:
A coin and a die are tossed together
Find:
Find the probability of getting either a head and 5 or tail and 6
Solution:
Sample space of coin =2
Sample space for dice =6
Total sample space =12
No. of times either a head and 5 or tail and 6 can come =2
Probability of either getting head and 5 or tail and 6 = 2/12
=1/6
Therefore, the probability of getting either a head and 5 or tail and 6 is 1/6
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