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An experiment consists of tossing a com ...

An experiment consists of tossing a com and then throwing it second tune if a head occurs. If a tail occurs on the first toss, then a die is rolled once. Find the sample space.

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To solve the problem, we need to identify the sample space of the given experiment. The experiment involves tossing a coin and then either tossing it again or rolling a die based on the outcome of the first toss. Let's break this down step by step. ### Step 1: Toss the Coin When we toss a coin, there are two possible outcomes: - Heads (H) - Tails (T) ### Step 2: Determine the Next Action Based on the Coin Toss ...
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Knowledge Check

  • A experiment consists of flipping a coin and then flipping it a second time if head occurs. If a tail occurs on the first flip, then a six-faced die is tossed once. Assuming that the outcomes are equally likely. What is the probability of getting one head and one tail?

    A
    A. `(1)/(4)`
    B
    B. `(1)/(36)`
    C
    C. `(1)/(6)`
    D
    D. `(1)/(8)`

  • If one die is rolled once, then the sample space is

    A
    `{H, T}`
    B
    `{H, 1, T, 2}`
    C
    `{1, 2, 3, 4, 5, 6}`
    D
    `{a, b, c}`

  • An experiment consists of flipping a coin and then flipping it a second time if head occurs. If a tail occurs on the first flip, then a six - faced die is tossed once. Assuming that the outcomes are equally likely, what is the probability of getting one head and one tail ?

    A
    `1//4`
    B
    `1//36`
    C
    `1//6`
    D
    `1//8`