the probability of rolling a 6 on a biased dice is 1/5 1) complete the tree diagram. 2) Work out the probability of rolling two sixes.

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TobyHolloway TobyHolloway · Answer 1 · 2020-07-07T11:07:10+02:00

Answer:

Step-by-step explanation:

Not 6 on all rolls in the diagram = 4/5

6 on all rolls in the diagram is 1/5

To find the probablity of rolling two sixes, 1/5 x 1/5 = 4/100 = 0.04 = 4%

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AFOKE88 AFOKE88 · Answer 2 · 2021-10-21T20:33:08+02:00

1) The completed tree diagram is attached

2) The probability of rolling two sixes as worked out from the tree diagram is; P(6 | 6) = ¹/₂₅

Since the probability of rolling a six on the first roll is 1/5, then probability of not rolling a six on first roll is;

P(not 6) = 1 - 1/5

P(not 6) = 4/5

A) Please find attached the completed tree diagram

B) First Roll;

P(6) = ¹/₅

P(not 6) = ⁴/₅

Second Roll;

Let's begin with the P(6) Section;

P(6 | 6) = ¹/₅ × ¹/₅ = ¹/₂₅

P(6 | not 6) = ¹/₅ × ⁴/₅ = ⁴/₂₅

Let us now solve for the P(not 6) section;

P(not 6 | 6) = ⁴/₅ × ¹/₅ = ⁴/₂₅

P(not 6 | not 6) = ⁴/₅ × ⁴/₅ = ¹⁶/₂₅

Now, since we are looking for the probability of getting two sixes, it is gotten from the above; P(6 | 6) = ¹/₅ × ¹/₅ = ¹/₂₅

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