Answer:
the die: 1/2, coin: 1/2
Step-by-step explanation:
There are 6 sides on a die and 6 numbers, 3 are even numbers which means 3/6. simplify it to get 1/2
there are 2 sides on a coin, one is heads. Therefore, the probability is 1/2
The fractional probability that the die lands on an even number and the coin is heads is [tex]\frac{1}{4}[/tex].
"Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty."
Given, a die is tossed and a coin is flipped.
Therefore, the number of outcomes in case of die is 6 and the number of favorable outcomes is 3.
Hence, in case of the die, probability of getting an even number is P(A) = [tex]\frac{3}{6}[/tex] = [tex]\frac{1}{2}[/tex].
Again, the number of outcomes in case of the coin is 2 and the number of favorable outcomes is 1.
Hence, in case of the coin, probability of getting head is P(B) = [tex]\frac{1}{2}[/tex].
Now, the fractional probability that the die lands on an even number and the coin is heads is = P(A) × P(B) = [tex]\frac{1}{2}[/tex] × [tex]\frac{1}{2}[/tex] = [tex]\frac{1}{4}[/tex].
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