1. An experiment consists of first rolling a 10-sided die and then tossing a coi

Question

1. An experiment consists of first rolling a 10-sided die and then tossing a coin.
a) List the sample space. b) Find P(A), where A is the event that a number less than 5 is rolled first, followed by landing a head on the coin toss.
1. An experiment consists of first rolling a 10-sided die and then tossing a coin.
a) List the sample space. b) Find P(A), where A is the event that a number less than 5 is rolled first, followed by landing a head on the coin toss.
1. An experiment consists of first rolling a 10-sided die and then tossing a coin.
a) List the sample space. b) Find P(A), where A is the event that a number less than 5 is rolled first, followed by landing a head on the coin toss.

Explanation / Answer

Coin {H,T}

Die {1,2,3,4,5,6,7,8,9,10}

Each Head can be paired with each die roll - giving a set like this

A ANS )Coin&Die {1H,1T,2H,2T,3T,,3H,4T,4H,5T,5H,6T,6H,7T,7H,8T,8H,9T,9H,10T,10H…}

B ANS) Number less than 5 is rolled means (1,2,3,4,) followed by landing head

P(A) = P (LESS THAN 5) * P (H)

P(A)= 4/10*1/2 = 1/5 = 0.2

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