$A$ die is thrown $400$ times with the frequencies for the outcomes $1, 2, 3, 4, 5$ and $6$ as given in the following table:
Outcome $1$ $2$ $3$ $4$ $5$ $6$ Frequency $68$ $70$ $74$ $54$ $70$ $64$
Find the probability of getting each outcome.
| Outcome | $1$ | $2$ | $3$ | $4$ | $5$ | $6$ |
| Frequency | $68$ | $70$ | $74$ | $54$ | $70$ | $64$ |
Find the probability of getting each outcome.
(N/A) The total number of trials is $400$.
Let $A_i$ be the event of getting the outcome $i$,where $i \in \{1, 2, 3, 4, 5, 6\}$.
The probability of an event is given by the formula: $P(A_i) = \frac{\text{Number of times the outcome occurred}}{\text{Total number of trials}}$.
$P(A_1) = \frac{68}{400} = 0.17$
$P(A_2) = \frac{70}{400} = 0.175$
$P(A_3) = \frac{74}{400} = 0.185$
$P(A_4) = \frac{54}{400} = 0.135$
$P(A_5) = \frac{70}{400} = 0.175$
$P(A_6) = \frac{64}{400} = 0.16$
Let $A_i$ be the event of getting the outcome $i$,where $i \in \{1, 2, 3, 4, 5, 6\}$.
The probability of an event is given by the formula: $P(A_i) = \frac{\text{Number of times the outcome occurred}}{\text{Total number of trials}}$.
$P(A_1) = \frac{68}{400} = 0.17$
$P(A_2) = \frac{70}{400} = 0.175$
$P(A_3) = \frac{74}{400} = 0.185$
$P(A_4) = \frac{54}{400} = 0.135$
$P(A_5) = \frac{70}{400} = 0.175$
$P(A_6) = \frac{64}{400} = 0.16$
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