Leslie needs to roll an 8 with 2 dice to win a game. how many possible outcomes are there for her to win?
2 answers:
Answer: 5
Step-by-step explanation:
Given : Leslie needs to roll an 8 with 2 dice to win a game.
Number of outcomes , when we roll a die {1 ,2,3,4,5,6} =6
When we roll two dice the total number of outcomes are:
The possible outcomes when we roll two dice :-
(1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6)
(2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6)
(3, 1) (3, 2) (3, 3) (3, 4) (3, 5) (3, 6)
(4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6)
(5, 1) (5, 2) (5, 3) (5, 4) (5, 5) (5, 6)
(6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6)
The favorable outcomes to get sum as 8 :-
{(2,6), (6,2), (3,5), (5,3), (4,4)}
Hence, the number of possible outcomes are there for her to win = 5
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<h2>Answer with explanation:</h2>
Let p be the proportion of the correct answers.
As per given , we have
, since the alternative hypothesis is right tailed , so the test is a one -tailed test.
If the student gets 52 answers correct out of 80.
i.e. the proportion of correct answers :
Test statistic :
P-value : [ by using p-value table for z (right-tailed)]
Since the p-value(0.0037) is less than the significance level (0.05), so we reject the null hypothesis.
Results : We have enough evidence to support the claim that a student knows more than half of the answers and is not just guessing.
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