Question

Construct a tree diagram of a probability experiment where a 6-sided die is rolled, and then a coin is flipped.

a. The probability that there was a number greater than 3 and a tail on the coin.

b. The probability that there was an even number on the dies and a tail on the coin.

Show all the calculation steps

Answer 1

The solution to this problem is

tossed, the sample space Solution When a die is Molled, the sample space is given by S; - {1,2,3,4,5,6 When coin is is given by S₂ = {4, T} So, coin is die, then a given by S = IH, IT, 24, 25, 34, 39, 4H, UT, 6H4 6T} ncs) = 12 Tree diagiam the Sample space for tossing a 6- sided .SH, ST { 1H , HH IT 24 H 2T 34 T 37 H 4H UT # SH ST HGH 6T

The event Commesponding to there was than and a a number greater tail is given by E = นา UT, 5T, 67% (E)=3 P(E)= ne) 3 - - 0.25 14 n(s) 19 (b) on an number even The event corresponding corresponding to there was the dies and tail 27, 47, UT, GT} the coin us on E2 = {2T h) = 3 3 ne) NES) =0.25 T2