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In each of the experiments, write the ev...

In each of the experiments, write the events using set notation and mention the total number of elements in each of them. Find the probability of each event :
Three coins are tossd simultaneously. (i) R is the event of getting at least two heads. (ii) Q is the event of getting at least one tail.

Text Solution

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The correct Answer is:
`S=PHHH, HHT,THH, HT T, THT,,T TH, T T T}.n(S)=8`
`(i)R={HHH, HHT, HTH, THH};n(R)=4;P(R)=1/2.`
(ii) `Q={HHT, HTH, THH, HT T, THT, T TH,T T T};n(Q)=7;`
`P(Q)=7/8.`
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Knowledge Check

  • Two coins are tossed simultaneously. What is the probability of getting at least one tail ?

    A
    `(1)/(2)`
    B
    `(2)/(3)`
    C
    `(3)/(4)`
    D
    `(1)/(4)`

  • Three fair coins are tossed simultaneously.Find the probability of getting at least one head and one tail.

    A
    `2/8`
    B
    `1/2`
    C
    `3/10`
    D
    `3/4`