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Two coins are tossed simultaneously. Complete the following activity to write the sample space and the given events A and B in the set form: Event A: To get at least one head. Event B: To get no head. - Algebra

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Question

Two coins are tossed simultaneously. Complete the following activity to write the sample space and the given events A and B in the set form:

Event A: To get at least one head.

Event B: To get no head.

Activity:

Two coins are tossed simultaneously.

∴ Sample space is

S = `{square, HT, TH, square}`

Event A: To get at least one head.

∴ A = `{square, HT, TH}`

Event B: To get no head.

∴ B = `{square}`

Fill in the Blanks
Sum

Solution

Two coins are tossed simultaneously.

∴ Sample space is

S = {\[\boxed{HH}\], HT, TH, \[\boxed{TT}\]}

Event A: To get at least one head.

∴ A = {\[\boxed{HH}\], HT, TH}

Event B: To get no head.

∴ B = {\[\boxed{TT}\]}

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Two coins are tossed simultaneously. Complete the following activity of writing of the sample space (S) and expected outcomes of the events :
1) Event A : to get at least one head.
2) Event B : to get no head.
Activity : If two coins are tossed simultaneously
∴ s =  {`square , "HT","TH", square`}
1) Event A : at least getting one head.
∴ A = {`"HH" , square , "TH"`}
2) Event B : to get no head.
∴ B = {`square`}


Write the sample space if two coins are tossed.


Two coins are tossed simultaneously. The probability of getting at the most one head is ______.


Form a ‘Road Safety Committee’ of two, from 2 boys (B1, B2) and 2 girls (G1, G2).

Complete the following activity to write the sample space :

  1. Committee of 2 boys = `{square}`
  2. Committee of 2 girls = `{square}`
  3. Committee of one boy and one girl = `{B_1G_1, B_1G_2, square, square}`
  4. ∴ Sample space (S) = `{(B_1 B_2),(B_1 G_1), square, square, (B_2 G_2),(G_1 G_2)}`

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