The sum of the probabilities of all outcomes is 1. Independent events are those not affected by a previous event. The probability of two independent events both happening is 𝑃(A and B) = 𝑃(A) × 𝑃(B ...
The sample space diagram shows there are 6 ways of making a 7, out of a total of 36 possible outcomes. Therefore, the probability of rolling two dice and the sum being 7 is \(\frac{6}{36} = \frac{1}{6 ...