Differences
This shows you the differences between two versions of the page.
| Both sides previous revision Previous revision Next revision | Previous revision Next revision Both sides next revision | ||
|
probability:02_multiple_event_probability [2014/01/20 13:48] marje [2.2. Mutually non exclusive events] |
probability:02_multiple_event_probability [2014/01/20 15:55] marje |
||
|---|---|---|---|
| Line 272: | Line 272: | ||
| $\text{Pr}[\text{"we obtain two tails in a row"}]=$ | $\text{Pr}[\text{"we obtain two tails in a row"}]=$ | ||
| - | $\text{Pr}[\text{"1st throw gives tails"}\cap\text{"2nd throw gives tails"}]= | + | $\text{Pr}[\text{"1st throw gives tails"}\cap\text{"2nd throw gives tails"}]=$ |
| - | \text{Pr}[\text{"1st throw gives tails"}]\cdot\text{Pr}[\text{"2nd throw gives tails"}]= | + | |
| + | $\text{Pr}[\text{"1st throw gives tails"}]\cdot\text{Pr}[\text{"2nd throw gives tails"}]= | ||
| \frac{1}{2}\cdot\frac{1}{2}= | \frac{1}{2}\cdot\frac{1}{2}= | ||
| \frac{1}{4}.$ | \frac{1}{4}.$ | ||
| Line 279: | Line 280: | ||
| Or, by tossing a coin and rolling a six-faced normal dice, the probability | Or, by tossing a coin and rolling a six-faced normal dice, the probability | ||
| - | $\text{Pr}[\text{"we land on heads"}\cap\text{"we roll a six"}]= | + | $\text{Pr}[\text{"we land on heads"}\cap\text{"we roll a six"}]=$ |
| - | \text{Pr}[\text{"we land on heads"}]\cdot\text{Pr}[\text{"we roll a six"}]=\frac{1}{2}\cdot\frac{1}{6}= | + | $\text{Pr}[\text{"we land on heads"}]\cdot\text{Pr}[\text{"we roll a six"}]=\frac{1}{2}\cdot\frac{1}{6}= |
| \frac{1}{12}.$ | \frac{1}{12}.$ | ||
| Line 431: | Line 432: | ||
| <WRAP nl> | <WRAP nl> | ||
| - | [[probability:03_conditional_probability|3. Conditional probability]]\\ | + | [[probability:03_conditional_probability]]\\ |
| </WRAP> | </WRAP> | ||