homework: unit 4 - mean, median and mode, and probability\nquestion 34, 7.4.49\ntwo dice are tossed. find…

homework: unit 4 - mean, median and mode, and probability\nquestion 34, 7.4.49\ntwo dice are tossed. find the probability of getting the sum of the dice equal to 5. (hint: draw a tree - diagram of the possibilities of two tosses of a die, and then find the sum of the numbers on each branch.)\nthe probability of getting a sum of 5 is . (type a whole number or a simplified fraction.)

homework: unit 4 - mean, median and mode, and probability\nquestion 34, 7.4.49\ntwo dice are tossed. find the probability of getting the sum of the dice equal to 5. (hint: draw a tree - diagram of the possibilities of two tosses of a die, and then find the sum of the numbers on each branch.)\nthe probability of getting a sum of 5 is . (type a whole number or a simplified fraction.)

Answer

Explanation:

Step1: Find total number of outcomes

When two dice are tossed, each die has 6 possible outcomes. So the total number of outcomes is (6\times6 = 36) since the outcomes of the first - die toss can combine with the outcomes of the second - die toss in multiple ways.

Step2: Find number of favorable outcomes

The pairs of numbers on the two dice that sum to 5 are ((1,4)), ((2,3)), ((3,2)), ((4,1)). So there are 4 favorable outcomes.

Step3: Calculate probability

The probability (P) of an event is given by the formula (P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}). So (P = \frac{4}{36}=\frac{1}{9}).

Answer:

(\frac{1}{9})