Probability

A card is drawn at random from a standard $52$-card deck. The probability that it is a heart is:

A fair coin is tossed once. The probability of obtaining heads is:

A fair $6$-sided die is rolled. The probability of obtaining an even number is:

A fair six-sided die is rolled once. The probability of rolling an even number is:

If $P(A)=0.3$, then $P(\bar{A})$ (the probability that $A$ does not occur) is:

A bag contains $20$ coloured counters. The table shows how many counters there are of each colour. $$\begin{array}{lcccc}\text{Colour}& \text{Red}& \text{Blue}& \text{Green}& \text{Yellow}\\ \text{Number}& 5& 3& 8& 4\end{array}$$ One counter is taken at random. What is the probability that it is green?

The table shows the $50$ members of a school club, grouped by grade level and by whether they play a musical instrument.

$$\begin{array}{lccc}& \text{Plays}& \text{Doesn’t}& \text{Total}\\ \text{Grade 9}& 8& 12& 20\\ \text{Grade 10}& 12& 18& 30\\ \text{Total}& 20& 30& 50\end{array}$$

If one member is selected at random, what is the probability that the member plays a musical instrument?

A workshop produces parts on two machines. Machine $A$ makes $60\mathrm{\%}$ of the parts and machine $B$ makes the remaining $40\mathrm{\%}$. Among the parts from $A$, $5\mathrm{\%}$ are defective; among the parts from $B$, $10\mathrm{\%}$ are defective. A part is drawn at random from the day's production. What is the probability that it is defective?

A factory uses two machines. Machine $A$ makes $60\mathrm{\%}$ of the items and Machine $B$ makes the remaining $40\mathrm{\%}$. Of the items from Machine $A$, $5\mathrm{\%}$ are defective; of those from Machine $B$, $10\mathrm{\%}$ are defective. An item is selected at random and found to be defective. Find the probability that it was made by Machine $A$.

A coin is tossed $3$ times. The probability of getting at least one head is: