Answer:
1/2
Step-by-step explanation:
Conditional probability, giving the standard number cube lands showing 4, think about what are all the possible sets left?
That's right, (Heads, 4) and (Tails,4)
Given that there are only 2 possible cases remaining, to get heads on the coins, there is only 1 possible case out of the two cases shown. P(A|B) is thus 1/2
The value of P(A|B), the coin lands showing heads” and B given that the standard number cube lands showing 4 is 1/2.
Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.
The conditional probability is the happening of an event, when the probability of occurring of other event is given. The probability of event A, given that the event B is occurred, is shown as,
[tex]P(A|B)[/tex]
The coin is flipped, then a standard number cube is rolled. Here, A represent the event “the coin lands showing heads” and B represent “the standard number cube lands showing 4.”
As the cube land number 4 and now the coin can only give two possible results, either head or tail. Hence the total outcome for this event are 2 (tail, 4) and (head, 4).
In which only one event can be happened at a time (in this case for head). Therefore, the conditional probability is,
[tex]P(A|B)=\dfrac{1}{2}[/tex]
Hence, the value of P(A|B), the coin lands showing heads” and B given that the standard number cube lands showing 4 is 1/2.
Learn more about the probability here;
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